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31413305025 = 3252139614689
BaseRepresentation
bin11101010000011000…
…001111111011000001
310000002020200020101200
4131100120033323001
51003313301230100
622233040051413
72161310454444
oct352030177301
9100066606350
1031413305025
111235aaa0013
126108303b69
132c6812186b
14174002165b
15c3cc4ae00
hex75060fec1

31413305025 has 18 divisors (see below), whose sum is σ = 56264720070. Its totient is φ = 16753762560.

The previous prime is 31413305023. The next prime is 31413305047. The reversal of 31413305025 is 52050331413.

It can be written as a sum of positive squares in 3 ways, for example, as 327031056 + 31086273969 = 18084^2 + 176313^2 .

It is not a de Polignac number, because 31413305025 - 21 = 31413305023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31413305025.

It is not an unprimeable number, because it can be changed into a prime (31413305023) 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 17 ways as a sum of consecutive naturals, for example, 69807120 + ... + 69807569.

Almost surely, 231413305025 is an apocalyptic number.

It is an amenable number.

31413305025 is a deficient number, since it is larger than the sum of its proper divisors (24851415045).

31413305025 is a wasteful number, since it uses less digits than its factorization.

31413305025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139614705 (or 139614697 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 31413305025 its reverse (52050331413), we get a palindrome (83463636438).

The spelling of 31413305025 in words is "thirty-one billion, four hundred thirteen million, three hundred five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 139614689 418844067 698073445 1256532201 2094220335 3490367225 6282661005 10471101675 31413305025