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31043634013 = 7611011494831
BaseRepresentation
bin11100111010010110…
…000100001101011101
32222010111002000002201
4130322112010031131
51002034132242023
622132232451501
72146201351420
oct347226041535
988114060081
1031043634013
111219035a787
126024549b91
132c0966bc12
141706cb39b7
15c1a578bad
hex73a58435d

31043634013 has 32 divisors (see below), whose sum is σ = 36669081600. Its totient is φ = 25734240000.

The previous prime is 31043633969. The next prime is 31043634043.

31043634013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31043634013 - 29 = 31043633501 is a prime.

It is a super-3 number, since 3×310436340133 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31043634043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6423508 + ... + 6428338.

It is an arithmetic number, because the mean of its divisors is an integer number (1145908800).

Almost surely, 231043634013 is an apocalyptic number.

It is an amenable number.

31043634013 is a deficient number, since it is larger than the sum of its proper divisors (5625447587).

31043634013 is a wasteful number, since it uses less digits than its factorization.

31043634013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149.

The product of its (nonzero) digits is 7776, while the sum is 28.

The spelling of 31043634013 in words is "thirty-one billion, forty-three million, six hundred thirty-four thousand, thirteen".

Divisors: 1 7 61 101 149 427 707 1043 4831 6161 9089 15049 33817 43127 63623 105343 294691 487931 719819 917989 2062837 3415517 5038733 6425923 29763791 43908959 72701719 208346537 307362713 508912033 4434804859 31043634013