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102683307131 is a prime number
BaseRepresentation
bin101111110100001100…
…1101110110001111011
3100211001011202110122022
41133220121232301323
53140243411312011
6115101055345055
710263405465236
oct1375031566173
9324034673568
10102683307131
113a6030604a9
1217a9852218b
1398b5700142
144d8158a41d
152a0eac38db
hex17e866ec7b

102683307131 has 2 divisors, whose sum is σ = 102683307132. Its totient is φ = 102683307130.

The previous prime is 102683307121. The next prime is 102683307241. The reversal of 102683307131 is 131703386201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102683307131 is a prime.

It is a super-2 number, since 2×1026833071312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102683307091 and 102683307100.

It is not a weakly prime, because it can be changed into another prime (102683307121) 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, 51341653565 + 51341653566.

It is an arithmetic number, because the mean of its divisors is an integer number (51341653566).

Almost surely, 2102683307131 is an apocalyptic number.

102683307131 is a deficient number, since it is larger than the sum of its proper divisors (1).

102683307131 is an equidigital number, since it uses as much as digits as its factorization.

102683307131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 102683307131 in words is "one hundred two billion, six hundred eighty-three million, three hundred seven thousand, one hundred thirty-one".