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102713626633 is a prime number
BaseRepresentation
bin101111110101000110…
…1011001000000001001
3100211010021210212011211
41133222031121000021
53140324142023013
6115104101253121
710264224264262
oct1375215310011
9324107725154
10102713626633
113a619189a42
1217aa67041a1
1398bba87687
144d855dd969
152a125b223d
hex17ea359009

102713626633 has 2 divisors, whose sum is σ = 102713626634. Its totient is φ = 102713626632.

The previous prime is 102713626579. The next prime is 102713626657. The reversal of 102713626633 is 336626317201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97002348304 + 5711278329 = 311452^2 + 75573^2 .

It is a cyclic number.

It is not a de Polignac number, because 102713626633 - 233 = 94123692041 is a prime.

It is a super-2 number, since 2×1027136266332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102713626733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51356813316 + 51356813317.

It is an arithmetic number, because the mean of its divisors is an integer number (51356813317).

Almost surely, 2102713626633 is an apocalyptic number.

It is an amenable number.

102713626633 is a deficient number, since it is larger than the sum of its proper divisors (1).

102713626633 is an equidigital number, since it uses as much as digits as its factorization.

102713626633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 102713626633 in words is "one hundred two billion, seven hundred thirteen million, six hundred twenty-six thousand, six hundred thirty-three".