Search a number
-
+
13120050223040 = 265672039300119
BaseRepresentation
bin1011111011101011111111…
…1011101101011111000000
31201110021010212011201211112
42332322333323231133000
53204424330324114130
643523133505302452
72522615034560555
oct276727773553700
951407125151745
1013120050223040
1141a9200348162
12157a906334a28
137422a53a8557
14335029cc2a2c
1517b438c5d495
hexbeebfeed7c0

13120050223040 has 112 divisors (see below), whose sum is σ = 31724076556800. Its totient is φ = 5167138808832.

The previous prime is 13120050223039. The next prime is 13120050223079. The reversal of 13120050223040 is 4032205002131.

It is a junction number, because it is equal to n+sod(n) for n = 13120050222997 and 13120050223015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43566101 + ... + 43866219.

Almost surely, 213120050223040 is an apocalyptic number.

13120050223040 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 13120050223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15862038278400).

13120050223040 is an abundant number, since it is smaller than the sum of its proper divisors (18604026333760).

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

13120050223040 is a wasteful number, since it uses less digits than its factorization.

13120050223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302242 (or 302232 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13120050223040 its reverse (4032205002131), we get a palindrome (17152255225171).

The spelling of 13120050223040 in words is "thirteen trillion, one hundred twenty billion, fifty million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2039 2144 2680 4078 4288 5360 8156 10195 10720 16312 20390 21440 32624 40780 65248 81560 130496 136613 163120 273226 300119 326240 546452 600238 652480 683065 1092904 1200476 1366130 1500595 2185808 2400952 2732260 3001190 4371616 4801904 5464520 6002380 8743232 9603808 10929040 12004760 19207616 20107973 21858080 24009520 40215946 43716160 48019040 80431892 96038080 100539865 160863784 201079730 321727568 402159460 611942641 643455136 804318920 1223885282 1286910272 1608637840 2447770564 3059713205 3217275680 4895541128 6119426410 6434551360 9791082256 12238852820 19582164512 24477705640 39164329024 41000156947 48955411280 82000313894 97910822560 164000627788 195821645120 205000784735 328001255576 410001569470 656002511152 820003138940 1312005022304 1640006277880 2624010044608 3280012555760 6560025111520 13120050223040