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13113014220240 = 24351120292448029
BaseRepresentation
bin1011111011010001110010…
…0011011111010111010000
31201102120222111200202111020
42332310130203133113100
53204320423120021430
643520011403315440
72522245500542064
oct276643443372720
951376874622436
1013113014220240
1141a621a743110
121579481b1bb80
137417237a829c
1433495d673aa4
1517b1761d1b10
hexbed1c8df5d0

13113014220240 has 160 divisors (see below), whose sum is σ = 44367704035200. Its totient is φ = 3177344501760.

The previous prime is 13113014220233. The next prime is 13113014220247. The reversal of 13113014220240 is 4202241031131.

It is an interprime number because it is at equal distance from previous prime (13113014220233) and next prime (13113014220247).

It is a super-2 number, since 2×131130142202402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13113014220240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113014220247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4132546 + ... + 6580574.

It is an arithmetic number, because the mean of its divisors is an integer number (277298150220).

Almost surely, 213113014220240 is an apocalyptic number.

13113014220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113014220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183852017600).

13113014220240 is an abundant number, since it is smaller than the sum of its proper divisors (31254689814960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13113014220240 is a wasteful number, since it uses less digits than its factorization.

13113014220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450085 (or 2450079 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13113014220240 its reverse (4202241031131), we get a palindrome (17315255251371).

The spelling of 13113014220240 in words is "thirteen trillion, one hundred thirteen billion, fourteen million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2029 2640 4058 6087 8116 10145 12174 16232 20290 22319 24348 30435 32464 40580 44638 48696 60870 66957 81160 89276 97392 111595 121740 133914 162320 178552 223190 243480 267828 334785 357104 446380 486960 535656 669570 892760 1071312 1339140 1785520 2448029 2678280 4896058 5356560 7344087 9792116 12240145 14688174 19584232 24480290 26928319 29376348 36720435 39168464 48960580 53856638 58752696 73440870 80784957 97921160 107713276 117505392 134641595 146881740 161569914 195842320 215426552 269283190 293763480 323139828 403924785 430853104 538566380 587526960 646279656 807849570 1077132760 1292559312 1615699140 2154265520 3231398280 4967050841 6462796560 9934101682 14901152523 19868203364 24835254205 29802305046 39736406728 49670508410 54637559251 59604610092 74505762615 79472813456 99341016820 109275118502 119209220184 149011525230 163912677753 198682033640 218550237004 238418440368 273187796255 298023050460 327825355506 397364067280 437100474008 546375592510 596046100920 655650711012 819563388765 874200948016 1092751185020 1192092201840 1311301422024 1639126777530 2185502370040 2622602844048 3278253555060 4371004740080 6556507110120 13113014220240