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23582268313 is a prime number
BaseRepresentation
bin10101111101100111…
…001101101110011001
32020212111012100112221
4111331213031232121
5341244030041223
614500013504041
71463250654562
oct257547155631
966774170487
1023582268313
11a00163724a
1246a17a2021
1322ba8b9c26
1411d9d7b169
159304c8b5d
hex57d9cdb99

23582268313 has 2 divisors, whose sum is σ = 23582268314. Its totient is φ = 23582268312.

The previous prime is 23582268271. The next prime is 23582268331. The reversal of 23582268313 is 31386228532.

Together with next prime (23582268331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18844974729 + 4737293584 = 137277^2 + 68828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23582268313 is a prime.

It is a super-2 number, since 2×235822683132 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23582268313.

It is not a weakly prime, because it can be changed into another prime (23582262313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11791134156 + 11791134157.

It is an arithmetic number, because the mean of its divisors is an integer number (11791134157).

Almost surely, 223582268313 is an apocalyptic number.

It is an amenable number.

23582268313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23582268313 is an equidigital number, since it uses as much as digits as its factorization.

23582268313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 414720, while the sum is 43.

The spelling of 23582268313 in words is "twenty-three billion, five hundred eighty-two million, two hundred sixty-eight thousand, three hundred thirteen".