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31023032013 = 323447003557
BaseRepresentation
bin11100111001000111…
…011110011011001101
32222002001022022110200
4130321013132123031
51002013344011023
622130215124113
72145531264321
oct347107363315
988061268420
1031023032013
111217a769136
126019673639
132c0530779c
14170426d981
15c18859743
hex7391de6cd

31023032013 has 6 divisors (see below), whose sum is σ = 44811046254. Its totient is φ = 20682021336.

The previous prime is 31023032009. The next prime is 31023032041.

31023032013 is a `hidden beast` number, since 310 + 2 + 30 + 320 + 1 + 3 = 666.

31023032013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 25749658089 + 5273373924 = 160467^2 + 72618^2 .

It is not a de Polignac number, because 31023032013 - 22 = 31023032009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023032003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1723501770 + ... + 1723501787.

It is an arithmetic number, because the mean of its divisors is an integer number (7468507709).

Almost surely, 231023032013 is an apocalyptic number.

It is an amenable number.

31023032013 is a deficient number, since it is larger than the sum of its proper divisors (13788014241).

31023032013 is a wasteful number, since it uses less digits than its factorization.

31023032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447003563 (or 3447003560 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 310230 and 32013, that added together give a palindrome (342243).

The spelling of 31023032013 in words is "thirty-one billion, twenty-three million, thirty-two thousand, thirteen".

Divisors: 1 3 9 3447003557 10341010671 31023032013