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112112300032 = 212127215521
BaseRepresentation
bin110100001101001101…
…0011111000000000000
3101201101022001221021121
41220122122133000000
53314101222100112
6123300443402024
711046150553405
oct1503232370000
9351338057247
10112112300032
114360151a417
121988a223314
13a759003495
1455d79522ac
152db278e407
hex1a1a69f000

112112300032 has 52 divisors (see below), whose sum is σ = 225963609856. Its totient is φ = 55614504960.

The previous prime is 112112299997. The next prime is 112112300039. The reversal of 112112300032 is 230003211211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112112299979 and 112112300015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112300039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412432 + ... + 627952.

Almost surely, 2112112300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112981804928).

112112300032 is an abundant number, since it is smaller than the sum of its proper divisors (113851309824).

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

112112300032 is an equidigital number, since it uses as much as digits as its factorization.

112112300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215672 (or 215650 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112112300032 its reverse (230003211211), we get a palindrome (342115511243).

It can be divided in two parts, 11211 and 2300032, that multiplied together give a palindrome (25785658752).

The spelling of 112112300032 in words is "one hundred twelve billion, one hundred twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 2032 2048 4064 4096 8128 16256 32512 65024 130048 215521 260096 431042 520192 862084 1724168 3448336 6896672 13793344 27371167 27586688 54742334 55173376 109484668 110346752 218969336 220693504 437938672 441387008 875877344 882774016 1751754688 3503509376 7007018752 14014037504 28028075008 56056150016 112112300032