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137313923 is a prime number
BaseRepresentation
bin10000010111100…
…11111010000011
3100120101021021212
420023303322003
5240123021143
621343040335
73255102065
oct1013637203
9316337255
10137313923
1170567a8a
1239ba00ab
13225a9856
1414345735
15c0c5918
hex82f3e83

137313923 has 2 divisors, whose sum is σ = 137313924. Its totient is φ = 137313922.

The previous prime is 137313907. The next prime is 137313941. The reversal of 137313923 is 329313731.

137313923 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137313923 - 24 = 137313907 is a prime.

It is a super-2 number, since 2×1373139232 = 37710226899299858, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137313923.

It is not a weakly prime, because it can be changed into another prime (137315923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68656961 + 68656962.

It is an arithmetic number, because the mean of its divisors is an integer number (68656962).

Almost surely, 2137313923 is an apocalyptic number.

137313923 is a deficient number, since it is larger than the sum of its proper divisors (1).

137313923 is an equidigital number, since it uses as much as digits as its factorization.

137313923 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10206, while the sum is 32.

The square root of 137313923 is about 11718.1023634375. The cubic root of 137313923 is about 515.9071240308.

The spelling of 137313923 in words is "one hundred thirty-seven million, three hundred thirteen thousand, nine hundred twenty-three".