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112607428131 = 321110111261869
BaseRepresentation
bin110100011011111101…
…1001111111000100011
3101202122210202001100100
41220313323033320203
53321110000200011
6123421531553443
711064342226512
oct1506773177043
9352583661310
10112607428131
1143835a594a0
12199a7bbb883
13a807770ba3
1456435da679
152de0e93d56
hex1a37ecfe23

112607428131 has 24 divisors (see below), whose sum is σ = 179198875440. Its totient is φ = 67571208000.

The previous prime is 112607428123. The next prime is 112607428177. The reversal of 112607428131 is 131824706211.

112607428131 is a `hidden beast` number, since 1 + 1 + 2 + 607 + 42 + 8 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 112607428131 - 23 = 112607428123 is a prime.

It is a super-2 number, since 2×1126074281312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112607428121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5620936 + ... + 5640933.

It is an arithmetic number, because the mean of its divisors is an integer number (7466619810).

Almost surely, 2112607428131 is an apocalyptic number.

112607428131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112607428131 is a deficient number, since it is larger than the sum of its proper divisors (66591447309).

112607428131 is a wasteful number, since it uses less digits than its factorization.

112607428131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261987 (or 11261984 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 112607428131 in words is "one hundred twelve billion, six hundred seven million, four hundred twenty-eight thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 11261869 33785607 101356821 123880559 371641677 1114925031 1137448769 3412346307 10237038921 12511936459 37535809377 112607428131