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112426760601 = 321117672
BaseRepresentation
bin110100010110100101…
…0000011100110011001
3101202012012210012002100
41220231022003212121
53320222222314401
6123351555354013
711060016461151
oct1505512034631
9352165705070
10112426760601
1143752a80291
12199575b2909
13a7a91c521c
14562760b761
152dd01a7b86
hex1a2d283999

112426760601 has 9 divisors (see below), whose sum is σ = 162395662741. Its totient is φ = 74950503132.

The previous prime is 112426760573. The next prime is 112426760617. The reversal of 112426760601 is 106067624211.

The square root of 112426760601 is 335301.

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

112426760601 is a `hidden beast` number, since 1 + 1 + 2 + 42 + 6 + 7 + 6 + 0 + 601 = 666.

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

It is a de Polignac number, because none of the positive numbers 2k-112426760601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112426764601) 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, 950020 + ... + 1061786.

Almost surely, 2112426760601 is an apocalyptic number.

112426760601 is the 335301-st square number.

112426760601 is the 167651-st centered octagonal number.

It is an amenable number.

112426760601 is a deficient number, since it is larger than the sum of its proper divisors (49968902140).

112426760601 is an frugal number, since it uses more digits than its factorization.

112426760601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223540 (or 111770 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 112426760601 by its sum of digits (36), we get a square (4047363381636 = 20118062).

The spelling of 112426760601 in words is "one hundred twelve billion, four hundred twenty-six million, seven hundred sixty thousand, six hundred one".

Divisors: 1 3 9 111767 335301 1005903 12491862289 37475586867 112426760601