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31131231113 = 1714912290261
BaseRepresentation
bin11100111111100100…
…001110001110001001
32222100120220101201202
4130333210032032021
51002224043343423
622145042153545
72151314045513
oct347744161611
988316811652
1031131231113
111222584a784
1260499528b5
132c2185c218
141714796bb3
15c230cd728
hex73f90e389

31131231113 has 8 divisors (see below), whose sum is σ = 33183707400. Its totient is φ = 29103335680.

The previous prime is 31131231097. The next prime is 31131231127. The reversal of 31131231113 is 31113213113.

It can be written as a sum of positive squares in 4 ways, for example, as 9684544 + 31121546569 = 3112^2 + 176413^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31131231113 - 24 = 31131231097 is a prime.

It is a super-2 number, since 2×311312311132 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31131231163) 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 7 ways as a sum of consecutive naturals, for example, 6142598 + ... + 6147663.

It is an arithmetic number, because the mean of its divisors is an integer number (4147963425).

Almost surely, 231131231113 is an apocalyptic number.

It is an amenable number.

31131231113 is a deficient number, since it is larger than the sum of its proper divisors (2052476287).

31131231113 is a wasteful number, since it uses less digits than its factorization.

31131231113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290427.

The product of its digits is 162, while the sum is 20.

Adding to 31131231113 its reverse (31113213113), we get a palindrome (62244444226).

The spelling of 31131231113 in words is "thirty-one billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 17 149 2533 12290261 208934437 1831248889 31131231113