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112516256052 = 223213922485263
BaseRepresentation
bin110100011001001111…
…1011101000100110100
3101202102110012000202200
41220302133131010310
53320413130143202
6123404513504500
711062154252634
oct1506237350464
9352373160680
10112516256052
1143799547572
1219981572130
13a7c18cb605
1456354666c4
152dd7e84e1c
hex1a327dd134

112516256052 has 36 divisors (see below), whose sum is σ = 286462263360. Its totient is φ = 37235593872.

The previous prime is 112516256051. The next prime is 112516256077. The reversal of 112516256052 is 250652615211.

112516256052 is a `hidden beast` number, since 1 + 1 + 25 + 1 + 6 + 25 + 605 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1125162560523 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112516255998 and 112516256016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112516256051) 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 11 ways as a sum of consecutive naturals, for example, 11237628 + ... + 11247635.

Almost surely, 2112516256052 is an apocalyptic number.

112516256052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112516256052 is an abundant number, since it is smaller than the sum of its proper divisors (173946007308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112516256052 is a wasteful number, since it uses less digits than its factorization.

112516256052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22485412 (or 22485407 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 112516256052 in words is "one hundred twelve billion, five hundred sixteen million, two hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2502 5004 22485263 44970526 67455789 89941052 134911578 202367367 269823156 404734734 809469468 3125451557 6250903114 9376354671 12501806228 18752709342 28129064013 37505418684 56258128026 112516256052