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13010232322120 = 23511234133893727
BaseRepresentation
bin1011110101010010111001…
…0001101010100001001000
31201001202200110102100102211
42331110232101222201020
53201124423433301440
643400452422434504
72511646454040325
oct275245621524110
951052613370384
1013010232322120
114166676a73860
121561578592a34
13734b23838aa7
1432d9acd81b4c
1517865cb35eea
hexbd52e46a848

13010232322120 has 128 divisors (see below), whose sum is σ = 31965849331200. Its totient is φ = 4726308787200.

The previous prime is 13010232322117. The next prime is 13010232322123. The reversal of 13010232322120 is 2122323201031.

It is an interprime number because it is at equal distance from previous prime (13010232322117) and next prime (13010232322123).

It is a super-3 number, since 3×130102323221203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13010232322091 and 13010232322100.

It is not an unprimeable number, because it can be changed into a prime (13010232322123) 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, 3490803697 + ... + 3490807423.

It is an arithmetic number, because the mean of its divisors is an integer number (249733197900).

Almost surely, 213010232322120 is an apocalyptic number.

13010232322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13010232322120 is an abundant number, since it is smaller than the sum of its proper divisors (18955617009080).

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

13010232322120 is a wasteful number, since it uses less digits than its factorization.

13010232322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9479 (or 9475 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13010232322120 its reverse (2122323201031), we get a palindrome (15132555523151).

The spelling of 13010232322120 in words is "thirteen trillion, ten billion, two hundred thirty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2341 3389 3727 4682 6778 7454 9364 11705 13556 14908 16945 18635 18728 23410 25751 27112 29816 33890 37270 37279 40997 46820 51502 67780 74540 74558 81994 93640 103004 128755 135560 149080 149116 163988 186395 204985 206008 257510 298232 327976 372790 409970 515020 745580 819940 1030040 1491160 1639880 7933649 8724907 12630803 15867298 17449814 25261606 31734596 34899628 39668245 43624535 50523212 63154015 63469192 69799256 79336490 87249070 87270139 95973977 101046424 126308030 138938833 158672980 174498140 174540278 191947954 252616060 277877666 317345960 348996280 349080556 383895908 436350695 479869885 505232120 555755332 694694165 698161112 767791816 872701390 959739770 1111510664 1389388330 1745402780 1919479540 2778776660 3490805560 3838959080 5557553320 29568709823 59137419646 118274839292 147843549115 236549678584 295687098230 325255808053 591374196460 650511616106 1182748392920 1301023232212 1626279040265 2602046464424 3252558080530 6505116161060 13010232322120