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13121032992 = 253337431941
BaseRepresentation
bin11000011100001001…
…10001001100100000
31020212102112112111220
430032010301030200
5203332441023432
610005553135040
7643102640334
oct141604611440
936772475456
1013121032992
115623532321
12266225a480
13131149ab62
148c68737c4
1551bdad72c
hex30e131320

13121032992 has 96 divisors (see below), whose sum is σ = 34661862144. Its totient is φ = 4345958400.

The previous prime is 13121032949. The next prime is 13121032997. The reversal of 13121032992 is 29923012131.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13121032997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13943242 + ... + 13944182.

It is an arithmetic number, because the mean of its divisors is an integer number (361061064).

Almost surely, 213121032992 is an apocalyptic number.

13121032992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121032992 is an abundant number, since it is smaller than the sum of its proper divisors (21540829152).

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

13121032992 is a wasteful number, since it uses less digits than its factorization.

13121032992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 13121032992 in words is "thirteen billion, one hundred twenty-one million, thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 337 431 674 862 941 1011 1293 1348 1724 1882 2022 2586 2696 2823 3448 3764 4044 5172 5392 5646 6896 7528 8088 10344 10784 11292 13792 15056 16176 20688 22584 30112 32352 41376 45168 90336 145247 290494 317117 405571 435741 580988 634234 811142 871482 951351 1161976 1216713 1268468 1622284 1742964 1902702 2323952 2433426 2536936 3244568 3485928 3805404 4647904 4866852 5073872 6489136 6971856 7610808 9733704 10147744 12978272 13943712 15221616 19467408 30443232 38934816 136677427 273354854 410032281 546709708 820064562 1093419416 1640129124 2186838832 3280258248 4373677664 6560516496 13121032992