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31402620413 is a prime number
BaseRepresentation
bin11101001111101111…
…011111010111111101
310000001111120101212022
4131033233133113331
51003303032323123
622232015045525
72161120604123
oct351757372775
9100044511768
1031402620413
1112354a6255a
1261048108a5
132c65b504c8
14173c83d913
15c3bd3a1c8
hex74fbdf5fd

31402620413 has 2 divisors, whose sum is σ = 31402620414. Its totient is φ = 31402620412.

The previous prime is 31402620311. The next prime is 31402620433.

31402620413 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23560101049 + 7842519364 = 153493^2 + 88558^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31402620413 - 220 = 31401571837 is a prime.

It is a super-2 number, since 2×314026204132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31402620433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15701310206 + 15701310207.

It is an arithmetic number, because the mean of its divisors is an integer number (15701310207).

Almost surely, 231402620413 is an apocalyptic number.

It is an amenable number.

31402620413 is a deficient number, since it is larger than the sum of its proper divisors (1).

31402620413 is an equidigital number, since it uses as much as digits as its factorization.

31402620413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 31402620413 in words is "thirty-one billion, four hundred two million, six hundred twenty thousand, four hundred thirteen".