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23735721313 is a prime number
BaseRepresentation
bin10110000110110000…
…100101110101100001
32021021011221120111101
4112012300211311201
5342102321040223
614523134514401
71500123205453
oct260660456541
967234846441
1023735721313
11a080217807
124725065a01
132313627715
1412124c42d3
1593dbdb4ad
hex586c25d61

23735721313 has 2 divisors, whose sum is σ = 23735721314. Its totient is φ = 23735721312.

The previous prime is 23735721311. The next prime is 23735721341. The reversal of 23735721313 is 31312753732.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13140724689 + 10594996624 = 114633^2 + 102932^2 .

It is a cyclic number.

It is not a de Polignac number, because 23735721313 - 21 = 23735721311 is a prime.

Together with 23735721311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (23735721311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11867860656 + 11867860657.

It is an arithmetic number, because the mean of its divisors is an integer number (11867860657).

Almost surely, 223735721313 is an apocalyptic number.

It is an amenable number.

23735721313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23735721313 is an equidigital number, since it uses as much as digits as its factorization.

23735721313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 79380, while the sum is 37.

The spelling of 23735721313 in words is "twenty-three billion, seven hundred thirty-five million, seven hundred twenty-one thousand, three hundred thirteen".