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31413231413 is a prime number
BaseRepresentation
bin11101010000010111…
…111101111100110101
310000002020112111102022
4131100113331330311
51003313241401123
622233034322525
72161310030024
oct352027757465
9100066474368
1031413231413
111235aa4a783
126108289445
132c680c71c5
1417400028bb
15c3cc341c8
hex7505fdf35

31413231413 has 2 divisors, whose sum is σ = 31413231414. Its totient is φ = 31413231412.

The previous prime is 31413231383. The next prime is 31413231497.

31413231413 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., 26397475729 + 5015755684 = 162473^2 + 70822^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31413231413 is a prime.

It is a super-2 number, since 2×314132314132 (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 (31413231013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15706615706 + 15706615707.

It is an arithmetic number, because the mean of its divisors is an integer number (15706615707).

Almost surely, 231413231413 is an apocalyptic number.

It is an amenable number.

31413231413 is a deficient number, since it is larger than the sum of its proper divisors (1).

31413231413 is an equidigital number, since it uses as much as digits as its factorization.

31413231413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 26.

The spelling of 31413231413 in words is "thirty-one billion, four hundred thirteen million, two hundred thirty-one thousand, four hundred thirteen".