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102201331319 is a prime number
BaseRepresentation
bin101111100101110101…
…1001000111001110111
3100202210120211120010022
41133023223020321313
53133302020100234
6114541201115355
710245433661033
oct1371353107167
9322716746108
10102201331319
113a385a9498a
1217983028b5b
1398398b9059
144d375671c3
1529d261ae2e
hex17cbac8e77

102201331319 has 2 divisors, whose sum is σ = 102201331320. Its totient is φ = 102201331318.

The previous prime is 102201331313. The next prime is 102201331333. The reversal of 102201331319 is 913133102201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102201331319 is a prime.

It is a super-2 number, since 2×1022013313192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201331313) 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, 51100665659 + 51100665660.

It is an arithmetic number, because the mean of its divisors is an integer number (51100665660).

Almost surely, 2102201331319 is an apocalyptic number.

102201331319 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201331319 is an equidigital number, since it uses as much as digits as its factorization.

102201331319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 102201331319 in words is "one hundred two billion, two hundred one million, three hundred thirty-one thousand, three hundred nineteen".