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31311113202 = 23250312132851
BaseRepresentation
bin11101001010010010…
…011010101111110010
32222211010101100120100
4131022102122233302
51003111121110302
622214545453230
72155630033215
oct351222325762
988733340510
1031311113202
1112308341866
12609a041216
132c4cbc1525
14173061d77c
15c33cb1d1c
hex74a49abf2

31311113202 has 48 divisors (see below), whose sum is σ = 68055519168. Its totient is φ = 10404050400.

The previous prime is 31311113191. The next prime is 31311113203. The reversal of 31311113202 is 20231111313.

31311113202 is a `hidden beast` number, since 31 + 311 + 1 + 1 + 320 + 2 = 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 (31311113203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10981077 + ... + 10983927.

It is an arithmetic number, because the mean of its divisors is an integer number (1417823316).

Almost surely, 231311113202 is an apocalyptic number.

31311113202 is an abundant number, since it is smaller than the sum of its proper divisors (36744405966).

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

31311113202 is a wasteful number, since it uses less digits than its factorization.

31311113202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4572 counting only the distinct ones).

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

Adding to 31311113202 its reverse (20231111313), we get a palindrome (51542224515).

It can be divided in two parts, 3131111 and 3202, that added together give a palindrome (3134313).

The spelling of 31311113202 in words is "thirty-one billion, three hundred eleven million, one hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 503 1006 1213 1509 2426 2851 3018 3639 4527 5702 7278 8553 9054 10917 17106 21834 25659 51318 610139 1220278 1434053 1830417 2868106 3458263 3660834 4302159 5491251 6916526 8604318 10374789 10982502 12906477 20749578 25812954 31124367 62248734 1739506289 3479012578 5218518867 10437037734 15655556601 31311113202