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112308526080 = 2103353173359
BaseRepresentation
bin110100010011000011…
…1000001110000000000
3101201212222022020211000
41220212013001300000
53320001440313310
6123332133252000
711054052502122
oct1504607016000
9351788266730
10112308526080
11436a2264a03
1219923a94000
13a78a868a7a
145615a31212
152dc4b004c0
hex1a261c1c00

112308526080 has 704 divisors, whose sum is σ = 418806374400. Its totient is φ = 28506193920.

The previous prime is 112308526061. The next prime is 112308526087. The reversal of 112308526080 is 80625803211.

It is a happy number.

112308526080 is a `hidden beast` number, since 1 + 12 + 30 + 8 + 5 + 2 + 608 + 0 = 666.

It is a super-2 number, since 2×1123085260802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112308526087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312836941 + ... + 312837299.

Almost surely, 2112308526080 is an apocalyptic number.

112308526080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112308526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209403187200).

112308526080 is an abundant number, since it is smaller than the sum of its proper divisors (306497848320).

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

112308526080 is a wasteful number, since it uses less digits than its factorization.

112308526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 112308526080 in words is "one hundred twelve billion, three hundred eight million, five hundred twenty-six thousand, eighty".