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23001312289 is a prime number
BaseRepresentation
bin10101011010111111…
…000010110000100001
32012101000000201201011
4111122333002300201
5334101313443124
614322221540521
71442664633334
oct253277026041
965330021634
1023001312289
1198337063aa
12455b114741
13222742b577
141182b5061b
158e94bd994
hex55afc2c21

23001312289 has 2 divisors, whose sum is σ = 23001312290. Its totient is φ = 23001312288.

The previous prime is 23001312251. The next prime is 23001312319. The reversal of 23001312289 is 98221310032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11917433889 + 11083878400 = 109167^2 + 105280^2 .

It is a cyclic number.

It is not a de Polignac number, because 23001312289 - 29 = 23001311777 is a prime.

It is a super-2 number, since 2×230013122892 (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 23001312289.

It is not a weakly prime, because it can be changed into another prime (23001310289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11500656144 + 11500656145.

It is an arithmetic number, because the mean of its divisors is an integer number (11500656145).

Almost surely, 223001312289 is an apocalyptic number.

It is an amenable number.

23001312289 is a deficient number, since it is larger than the sum of its proper divisors (1).

23001312289 is an equidigital number, since it uses as much as digits as its factorization.

23001312289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 23001312289 in words is "twenty-three billion, one million, three hundred twelve thousand, two hundred eighty-nine".