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31415451413 is a prime number
BaseRepresentation
bin11101010000100000…
…011011111100010101
310000002101201021200112
4131100200123330111
51003314323421123
622233154052405
72161334634233
oct352040337425
9100071637615
1031415451413
1112361226695
126108b7a105
132c686c3808
14174041d953
15c3d021d78
hex75081bf15

31415451413 has 2 divisors, whose sum is σ = 31415451414. Its totient is φ = 31415451412.

The previous prime is 31415451407. The next prime is 31415451421.

31415451413 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18905700004 + 12509751409 = 137498^2 + 111847^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31415451413 - 26 = 31415451349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31415451413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31415451433) 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 as a sum of consecutive naturals, namely, 15707725706 + 15707725707.

It is an arithmetic number, because the mean of its divisors is an integer number (15707725707).

Almost surely, 231415451413 is an apocalyptic number.

It is an amenable number.

31415451413 is a deficient number, since it is larger than the sum of its proper divisors (1).

31415451413 is an equidigital number, since it uses as much as digits as its factorization.

31415451413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 32.

The spelling of 31415451413 in words is "thirty-one billion, four hundred fifteen million, four hundred fifty-one thousand, four hundred thirteen".