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23001311413 is a prime number
BaseRepresentation
bin10101011010111111…
…000010100010110101
32012101000000200111201
4111122333002202311
5334101313431123
614322221532501
71442664630643
oct253277024265
965330020451
1023001311413
119833705783
12455b114131
13222742b052
141182b50193
158e94bd5ad
hex55afc28b5

23001311413 has 2 divisors, whose sum is σ = 23001311414. Its totient is φ = 23001311412.

The previous prime is 23001311407. The next prime is 23001311467. The reversal of 23001311413 is 31411310032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12445187364 + 10556124049 = 111558^2 + 102743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23001311413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23001312413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11500655706 + 11500655707.

It is an arithmetic number, because the mean of its divisors is an integer number (11500655707).

Almost surely, 223001311413 is an apocalyptic number.

It is an amenable number.

23001311413 is a deficient number, since it is larger than the sum of its proper divisors (1).

23001311413 is an equidigital number, since it uses as much as digits as its factorization.

23001311413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 23001311413 its reverse (31411310032), we get a palindrome (54412621445).

The spelling of 23001311413 in words is "twenty-three billion, one million, three hundred eleven thousand, four hundred thirteen".