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129112807693 is a prime number
BaseRepresentation
bin111100000111110111…
…0010001100100001101
3110100021002112012120111
41320033232101210031
54103410334321233
6135151423320021
712220351520602
oct1701756214415
9410232465514
10129112807693
114a8358a5451
1221033750011
13c23814397c
14636b7246a9
15355a016acd
hex1e0fb9190d

129112807693 has 2 divisors, whose sum is σ = 129112807694. Its totient is φ = 129112807692.

The previous prime is 129112807669. The next prime is 129112807729. The reversal of 129112807693 is 396708211921.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99450668164 + 29662139529 = 315358^2 + 172227^2 .

It is a cyclic number.

It is not a de Polignac number, because 129112807693 - 229 = 128575936781 is a prime.

It is a super-2 number, since 2×1291128076932 (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 (129112807193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64556403846 + 64556403847.

It is an arithmetic number, because the mean of its divisors is an integer number (64556403847).

Almost surely, 2129112807693 is an apocalyptic number.

It is an amenable number.

129112807693 is a deficient number, since it is larger than the sum of its proper divisors (1).

129112807693 is an equidigital number, since it uses as much as digits as its factorization.

129112807693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 129112807693 in words is "one hundred twenty-nine billion, one hundred twelve million, eight hundred seven thousand, six hundred ninety-three".