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23311013113393 is a prime number
BaseRepresentation
bin1010100110011100001001…
…01001111110111000110001
310001112111210120202221021121
411103032010221332320301
511023411423324112033
6121324533120022241
74624110431101555
oct523160451767061
9101474716687247
1023311013113393
117478166205115
1227459b7161981
1310012b04ab885
145a838abbb865
152a658da6862d
hex153384a7ee31

23311013113393 has 2 divisors, whose sum is σ = 23311013113394. Its totient is φ = 23311013113392.

The previous prime is 23311013113351. The next prime is 23311013113447. The reversal of 23311013113393 is 39331131011332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19390486392369 + 3920526721024 = 4403463^2 + 1980032^2 .

It is a cyclic number.

It is not a de Polignac number, because 23311013113393 - 229 = 23310476242481 is a prime.

It is a super-3 number, since 3×233110131133933 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (23311013143393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11655506556696 + 11655506556697.

It is an arithmetic number, because the mean of its divisors is an integer number (11655506556697).

Almost surely, 223311013113393 is an apocalyptic number.

It is an amenable number.

23311013113393 is a deficient number, since it is larger than the sum of its proper divisors (1).

23311013113393 is an equidigital number, since it uses as much as digits as its factorization.

23311013113393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 34.

The spelling of 23311013113393 in words is "twenty-three trillion, three hundred eleven billion, thirteen million, one hundred thirteen thousand, three hundred ninety-three".