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12002113013130 = 234529510945637
BaseRepresentation
bin1010111010100111010110…
…1011101100010110001010
31120111101112220002021220000
42232221311223230112022
53033120311412410010
641305410011143430
72346060356225442
oct256516553542612
946441486067800
1012002113013130
1139080819a0949
12141a10b444b76
13690a433b5906
142d6c96495122
1515c3086a87c0
hexaea75aec58a

12002113013130 has 80 divisors (see below), whose sum is σ = 33385187986920. Its totient is φ = 3090199206528.

The previous prime is 12002113013123. The next prime is 12002113013201. The reversal of 12002113013130 is 3131031120021.

12002113013130 is a `hidden beast` number, since 1 + 20 + 0 + 211 + 301 + 3 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8823733607529 + 3178379405601 = 2970477^2 + 1782801^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 255449329 + ... + 255496308.

Almost surely, 212002113013130 is an apocalyptic number.

12002113013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002113013130 is an abundant number, since it is smaller than the sum of its proper divisors (21383074973790).

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

12002113013130 is a wasteful number, since it uses less digits than its factorization.

12002113013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510945685 (or 510945676 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12002113013130 its reverse (3131031120021), we get a palindrome (15133144133151).

The spelling of 12002113013130 in words is "twelve trillion, two billion, one hundred thirteen million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 510945637 1021891274 1532836911 2554728185 3065673822 4598510733 5109456370 7664184555 9197021466 13795532199 14817423473 15328369110 22992553665 27591064398 29634846946 41386596597 44452270419 45985107330 68977660995 74087117365 82773193194 88904540838 133356811257 137955321990 148174234730 206932982985 222261352095 266713622514 400070433771 413865965970 444522704190 666784056285 800140867542 1200211301313 1333568112570 2000352168855 2400422602626 4000704337710 6001056506565 12002113013130