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136134161431631 = 1122741410461771
BaseRepresentation
bin11110111101000000110100…
…010101010111110001001111
3122212000022001202221201022022
4132331000310111113301033
5120320410230311303011
61201311100450040355
740450240266445016
oct3675006425276117
9585008052851268
10136134161431631
113a4161a0132a00
12133278672790bb
135ac651c9b048c
142588cdddcda7d
1510b12668a68db
hex7bd034557c4f

136134161431631 has 12 divisors (see below), whose sum is σ = 149689661783592. Its totient is φ = 123713177478000.

The previous prime is 136134161431603. The next prime is 136134161431649.

136134161431631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136134161431631 - 214 = 136134161415247 is a prime.

It is a super-2 number, since 2×1361341614316312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136134161431651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204899225 + ... + 205562546.

It is an arithmetic number, because the mean of its divisors is an integer number (12474138481966).

Almost surely, 2136134161431631 is an apocalyptic number.

136134161431631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136134161431631 is a deficient number, since it is larger than the sum of its proper divisors (13555500351961).

136134161431631 is a wasteful number, since it uses less digits than its factorization.

136134161431631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410464534 (or 410464523 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The spelling of 136134161431631 in words is "one hundred thirty-six trillion, one hundred thirty-four billion, one hundred sixty-one million, four hundred thirty-one thousand, six hundred thirty-one".

Divisors: 1 11 121 2741 30151 331661 410461771 4515079481 49665874291 1125075714311 12375832857421 136134161431631