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31310111331 = 338313971491
BaseRepresentation
bin11101001010001110…
…100110001001100011
32222211001111110021000
4131022032212021203
51003110342030311
622214512203043
72155615361262
oct351216461143
988731443230
1031310111331
1112307818074
126099839483
132c4c9304c5
14173043c5d9
15c33b65056
hex74a3a6263

31310111331 has 16 divisors (see below), whose sum is σ = 46944213120. Its totient is φ = 20621919240.

The previous prime is 31310111323. The next prime is 31310111363. The reversal of 31310111331 is 13311101313.

31310111331 is a `hidden beast` number, since 313 + 10 + 1 + 11 + 331 = 666.

It is not a de Polignac number, because 31310111331 - 23 = 31310111323 is a prime.

It is a super-2 number, since 2×313101113312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31310111311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6983505 + ... + 6987986.

It is an arithmetic number, because the mean of its divisors is an integer number (2934013320).

Almost surely, 231310111331 is an apocalyptic number.

31310111331 is a deficient number, since it is larger than the sum of its proper divisors (15634101789).

31310111331 is a wasteful number, since it uses less digits than its factorization.

31310111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13971583 (or 13971577 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31310111331 its reverse (13311101313), we get a palindrome (44621212644).

The spelling of 31310111331 in words is "thirty-one billion, three hundred ten million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 27 83 249 747 2241 13971491 41914473 125743419 377230257 1159633753 3478901259 10436703777 31310111331