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102083921131837 is a prime number
BaseRepresentation
bin10111001101100001000011…
…110110110011100100111101
3111101110010102222120120220211
4113031201003312303210331
5101340020332302204322
61001040412252512421
730334214505405211
oct2715410366634475
9441403388516824
10102083921131837
112a58860317a467
12b54866a77b711
1344c661acab678
141b2cc61100941
15bc0685112b77
hex5cd843db393d

102083921131837 has 2 divisors, whose sum is σ = 102083921131838. Its totient is φ = 102083921131836.

The previous prime is 102083921131831. The next prime is 102083921131891. The reversal of 102083921131837 is 738131129380201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75117773036601 + 26966148095236 = 8667051^2 + 5192894^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102083921131837 is a prime.

It is a super-2 number, since 2×1020839211318372 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102083921131831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51041960565918 + 51041960565919.

It is an arithmetic number, because the mean of its divisors is an integer number (51041960565919).

Almost surely, 2102083921131837 is an apocalyptic number.

It is an amenable number.

102083921131837 is a deficient number, since it is larger than the sum of its proper divisors (1).

102083921131837 is an equidigital number, since it uses as much as digits as its factorization.

102083921131837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 102083921131837 in words is "one hundred two trillion, eighty-three billion, nine hundred twenty-one million, one hundred thirty-one thousand, eight hundred thirty-seven".