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31122131031 = 3223321148279
BaseRepresentation
bin11100111111000001…
…100000100001010111
32222022221210001202200
4130333001200201113
51002214231143111
622144115135543
72151143514615
oct347701404127
988287701680
1031122131031
11122206a4752
1260468a45b3
132c1c9c4164
1417134a86b5
15c223d2256
hex73f060857

31122131031 has 12 divisors (see below), whose sum is σ = 44956420080. Its totient is φ = 20747057760.

The previous prime is 31122130957. The next prime is 31122131039. The reversal of 31122131031 is 13013122113.

It is not a de Polignac number, because 31122131031 - 210 = 31122130007 is a prime.

It is a super-2 number, since 2×311221310312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31122130995 and 31122131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122131039) 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 11 ways as a sum of consecutive naturals, for example, 135750 + ... + 284028.

It is an arithmetic number, because the mean of its divisors is an integer number (3746368340).

Almost surely, 231122131031 is an apocalyptic number.

31122131031 is a deficient number, since it is larger than the sum of its proper divisors (13834289049).

31122131031 is a wasteful number, since it uses less digits than its factorization.

31122131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171606 (or 171603 counting only the distinct ones).

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

Adding to 31122131031 its reverse (13013122113), we get a palindrome (44135253144).

The spelling of 31122131031 in words is "thirty-one billion, one hundred twenty-two million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 23321 69963 148279 209889 444837 1334511 3458014559 10374043677 31122131031