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112722705225 = 32521338537677
BaseRepresentation
bin110100011111011001…
…0111111101101001001
3101202221211122201210100
41220332302333231021
53321324003031400
6123441210440013
711100242120364
oct1507662775511
9352854581710
10112722705225
1143895034919
1219a1a733009
13a8256031a0
145654a470db
152deb165100
hex1a3ecbfb49

112722705225 has 36 divisors (see below), whose sum is σ = 217429579276. Its totient is φ = 55494253440.

The previous prime is 112722705217. The next prime is 112722705283. The reversal of 112722705225 is 522507227211.

112722705225 is a `hidden beast` number, since 1 + 127 + 2 + 2 + 7 + 0 + 522 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6076046601 + 106646658624 = 77949^2 + 326568^2 .

It is not a de Polignac number, because 112722705225 - 23 = 112722705217 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112722705225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19265914 + ... + 19271763.

Almost surely, 2112722705225 is an apocalyptic number.

112722705225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112722705225 is a deficient number, since it is larger than the sum of its proper divisors (104706874051).

112722705225 is a wasteful number, since it uses less digits than its factorization.

112722705225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38537706 (or 38537698 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 112722705225 in words is "one hundred twelve billion, seven hundred twenty-two million, seven hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 38537677 115613031 192688385 346839093 500989801 578065155 963441925 1502969403 1734195465 2504949005 2890325775 4508908209 7514847015 8670977325 12524745025 22544541045 37574235075 112722705225