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31131400311 = 3211518960601
BaseRepresentation
bin11100111111100100…
…110111100001110111
32222100121012222211100
4130333210313201313
51002224114302221
622145045541143
72151315352014
oct347744674167
988317188740
1031131400311
1112225955910
126049a147b3
132c218bb23b
1417147dc70b
15c23113926
hex73f937877

31131400311 has 24 divisors (see below), whose sum is σ = 49065803280. Its totient is φ = 18863568000.

The previous prime is 31131400291. The next prime is 31131400337. The reversal of 31131400311 is 11300413113.

31131400311 is a `hidden beast` number, since 311 + 3 + 1 + 40 + 0 + 311 = 666.

It is not a de Polignac number, because 31131400311 - 29 = 31131399799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31131440311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483411 + ... + 544011.

It is an arithmetic number, because the mean of its divisors is an integer number (2044408470).

Almost surely, 231131400311 is an apocalyptic number.

31131400311 is a deficient number, since it is larger than the sum of its proper divisors (17934402969).

31131400311 is a wasteful number, since it uses less digits than its factorization.

31131400311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65807 (or 65804 counting only the distinct ones).

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

Adding to 31131400311 its reverse (11300413113), we get a palindrome (42431813424).

The spelling of 31131400311 in words is "thirty-one billion, one hundred thirty-one million, four hundred thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 5189 15567 46701 57079 60601 171237 181803 513711 545409 666611 1999833 5999499 314458589 943375767 2830127301 3459044479 10377133437 31131400311