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136771588120431 = 31118712215175617
BaseRepresentation
bin11111000110010010011101…
…111011001101111101101111
3122221021020101010201112221210
4133012102131323031331233
5120411331203024323211
61202520000012125503
740544264312060565
oct3706223573157557
9587236333645853
10136771588120431
113a641560958770
121340b300166893
135b41675533094
1425abaccb89a35
1510c2b2234d9a6
hex7c649decdf6f

136771588120431 has 16 divisors (see below), whose sum is σ = 199046820331008. Its totient is φ = 82847568038400.

The previous prime is 136771588120403. The next prime is 136771588120439. The reversal of 136771588120431 is 134021885177631.

It is a happy number.

It is not a de Polignac number, because 136771588120431 - 27 = 136771588120303 is a prime.

It is a super-2 number, since 2×1367715881204312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136771588120439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107526066 + ... + 1107649551.

It is an arithmetic number, because the mean of its divisors is an integer number (12440426270688).

Almost surely, 2136771588120431 is an apocalyptic number.

136771588120431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136771588120431 is a deficient number, since it is larger than the sum of its proper divisors (62275232210577).

136771588120431 is a wasteful number, since it uses less digits than its factorization.

136771588120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215177502.

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 136771588120431 in words is "one hundred thirty-six trillion, seven hundred seventy-one billion, five hundred eighty-eight million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 11 33 1871 5613 20581 61743 2215175617 6645526851 24366931787 73100795361 4144593579407 12433780738221 45590529373477 136771588120431