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113091636681 = 321120972
BaseRepresentation
bin110100101010011001…
…0010110110111001001
3101210220112212101121100
41221110302112313021
53323102424333211
6123541550132013
711112342023322
oct1512462266711
9353815771540
10113091636681
1143a6430a551
1219b021b1009
13a883b8731a
14568ba41449
152e1d73d156
hex1a54c96dc9

113091636681 has 9 divisors (see below), whose sum is σ = 163356043591. Its totient is φ = 75393751872.

The previous prime is 113091636673. The next prime is 113091636701. The reversal of 113091636681 is 186636190311.

The square root of 113091636681 is 336291.

It is a perfect power (a square), and thus also a powerful number.

113091636681 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 9 + 1 + 636 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59553081225 + 53538555456 = 244035^2 + 231384^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 113091636681 - 23 = 113091636673 is a prime.

It is a super-2 number, since 2×1130916366812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113091636611) 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 in 8 ways as a sum of consecutive naturals, for example, 952825 + ... + 1064921.

Almost surely, 2113091636681 is an apocalyptic number.

113091636681 is the 336291-st square number.

113091636681 is the 168146-th centered octagonal number.

It is an amenable number.

113091636681 is a deficient number, since it is larger than the sum of its proper divisors (50264406910).

113091636681 is an frugal number, since it uses more digits than its factorization.

113091636681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224200 (or 112100 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 113091636681 in words is "one hundred thirteen billion, ninety-one million, six hundred thirty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 112097 336291 1008873 12565737409 37697212227 113091636681