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13021302312 = 2333431401949
BaseRepresentation
bin11000010000010000…
…10100111000101000
31020121110212200202000
430020020110320220
5203131423133222
65552031411000
7640452146334
oct141010247050
936543780660
1013021302312
115582205177
122634983a60
1312c691cb15
148b75127c4
1551325d9ac
hex308214e28

13021302312 has 64 divisors (see below), whose sum is σ = 37011480000. Its totient is φ = 4239490752.

The previous prime is 13021302289. The next prime is 13021302313. The reversal of 13021302312 is 21320312031.

13021302312 is a `hidden beast` number, since 1 + 30 + 21 + 302 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13021302313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691687 + ... + 710262.

It is an arithmetic number, because the mean of its divisors is an integer number (578304375).

Almost surely, 213021302312 is an apocalyptic number.

13021302312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13021302312 is an abundant number, since it is smaller than the sum of its proper divisors (23990177688).

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

13021302312 is a wasteful number, since it uses less digits than its factorization.

13021302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402007 (or 1401997 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13021302312 its reverse (21320312031), we get a palindrome (34341614343).

The spelling of 13021302312 in words is "thirteen billion, twenty-one million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 1401949 2803898 4205847 5607796 8411694 11215592 12617541 16823388 25235082 33646776 37852623 50470164 60283807 75705246 100940328 120567614 151410492 180851421 241135228 302820984 361702842 482270456 542554263 723405684 1085108526 1446811368 1627662789 2170217052 3255325578 4340434104 6510651156 13021302312