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129176680817 is a prime number
BaseRepresentation
bin111100001001110000…
…1111011100101110001
3110100102112201022000202
41320103201323211301
54104023212241232
6135202024324545
712222055445612
oct1702341734561
9410375638022
10129176680817
114a868961258
1221051013755
13c248448812
146375dcdc09
153560932162
hex1e1387b971

129176680817 has 2 divisors, whose sum is σ = 129176680818. Its totient is φ = 129176680816.

The previous prime is 129176680691. The next prime is 129176680819. The reversal of 129176680817 is 718086671921.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129079244176 + 97436641 = 359276^2 + 9871^2 .

It is a cyclic number.

It is not a de Polignac number, because 129176680817 - 224 = 129159903601 is a prime.

It is a super-2 number, since 2×1291766808172 (a number of 23 digits) contains 22 as substring.

Together with 129176680819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (129176680819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64588340408 + 64588340409.

It is an arithmetic number, because the mean of its divisors is an integer number (64588340409).

Almost surely, 2129176680817 is an apocalyptic number.

It is an amenable number.

129176680817 is a deficient number, since it is larger than the sum of its proper divisors (1).

129176680817 is an equidigital number, since it uses as much as digits as its factorization.

129176680817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 56.

The spelling of 129176680817 in words is "one hundred twenty-nine billion, one hundred seventy-six million, six hundred eighty thousand, eight hundred seventeen".