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31385458313 = 1121913651787
BaseRepresentation
bin11101001110101110…
…000001011010001001
310000000022021110212222
4131032232001122021
51003234134131223
622230203143425
72160521664626
oct351656013211
9100008243788
1031385458313
1112346300400
1260bab14b75
132c62421a11
14173a45334d
15c3a59a0c8
hex74eb81689

31385458313 has 12 divisors (see below), whose sum is σ = 36313756080. Its totient is φ = 27030536280.

The previous prime is 31385458301. The next prime is 31385458331.

31385458313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31385458313 - 216 = 31385392777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31385458333) 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, 6823595 + ... + 6828192.

It is an arithmetic number, because the mean of its divisors is an integer number (3026146340).

Almost surely, 231385458313 is an apocalyptic number.

It is an amenable number.

31385458313 is a deficient number, since it is larger than the sum of its proper divisors (4928297767).

31385458313 is a wasteful number, since it uses less digits than its factorization.

31385458313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651828 (or 13651817 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The spelling of 31385458313 in words is "thirty-one billion, three hundred eighty-five million, four hundred fifty-eight thousand, three hundred thirteen".

Divisors: 1 11 19 121 209 2299 13651787 150169657 259383953 1651866227 2853223483 31385458313