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31312001331 = 331389207981
BaseRepresentation
bin11101001010010101…
…110011100100110011
32222211012001110212000
4131022111303210303
51003111333020311
622215020505043
72155640422422
oct351225634463
988735043760
1031312001331
1112308899056
12609a3ab183
132c50142850
1417307b12b9
15c33dda056
hex74a573933

31312001331 has 16 divisors (see below), whose sum is σ = 49956469920. Its totient is φ = 19268923680.

The previous prime is 31312001323. The next prime is 31312001377. The reversal of 31312001331 is 13310021313.

It is a happy number.

31312001331 is a `hidden beast` number, since 3 + 131 + 200 + 1 + 331 = 666.

It is not a de Polignac number, because 31312001331 - 23 = 31312001323 is a prime.

It is a super-2 number, since 2×313120013312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31312001131) 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 15 ways as a sum of consecutive naturals, for example, 44603640 + ... + 44604341.

It is an arithmetic number, because the mean of its divisors is an integer number (3122279370).

Almost surely, 231312001331 is an apocalyptic number.

31312001331 is a deficient number, since it is larger than the sum of its proper divisors (18644468589).

31312001331 is a wasteful number, since it uses less digits than its factorization.

31312001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89208003 (or 89207997 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31312001331 its reverse (13310021313), we get a palindrome (44622022644).

The spelling of 31312001331 in words is "thirty-one billion, three hundred twelve million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 89207981 267623943 802871829 1159703753 2408615487 3479111259 10437333777 31312001331