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112547501361 = 321118272
BaseRepresentation
bin110100011010001011…
…0101001010100110001
3101202111121222110021100
41220310112221110301
53320444130020421
6123411551315013
711063013656061
oct1506426512461
9352447873240
10112547501361
1143805148639
121998bb1ba69
13a7c821b369
14563967b3a1
152ddaaa7c26
hex1a345a9531

112547501361 has 9 divisors (see below), whose sum is σ = 162570066841. Its totient is φ = 75030996612.

The previous prime is 112547501327. The next prime is 112547501377. The reversal of 112547501361 is 163105745211.

The square root of 112547501361 is 335481.

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

112547501361 is a `hidden beast` number, since 1 + 1 + 2 + 547 + 50 + 1 + 3 + 61 = 666.

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

It is not a de Polignac number, because 112547501361 - 219 = 112546977073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112547501461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 950530 + ... + 1062356.

Almost surely, 2112547501361 is an apocalyptic number.

112547501361 is the 335481-st square number.

112547501361 is the 167741-st centered octagonal number.

It is an amenable number.

112547501361 is a deficient number, since it is larger than the sum of its proper divisors (50022565480).

112547501361 is an frugal number, since it uses more digits than its factorization.

112547501361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223660 (or 111830 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 112547501361 by its sum of digits (36), we get a square (4051710048996 = 20128862).

The spelling of 112547501361 in words is "one hundred twelve billion, five hundred forty-seven million, five hundred one thousand, three hundred sixty-one".

Divisors: 1 3 9 111827 335481 1006443 12505277929 37515833787 112547501361