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112042063224 = 2332713193129033
BaseRepresentation
bin110100001011000111…
…0100011010101111000
3101201012101220112111100
41220112032203111320
53313430232010344
6123245454131400
711044335552360
oct1502616432570
9351171815440
10112042063224
1143575907473
121986a7b0b60
13a7475b0c40
1455cc4ab9a0
152dab518569
hex1a163a3578

112042063224 has 384 divisors, whose sum is σ = 405825638400. Its totient is φ = 27090339840.

The previous prime is 112042063207. The next prime is 112042063241. The reversal of 112042063224 is 422360240211.

112042063224 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 2 + 0 + 632 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (112042063207) and next prime (112042063241).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3844612 + ... + 3873644.

It is an arithmetic number, because the mean of its divisors is an integer number (1056837600).

Almost surely, 2112042063224 is an apocalyptic number.

112042063224 is a gapful number since it is divisible by the number (14) 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 112042063224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202912819200).

112042063224 is an abundant number, since it is smaller than the sum of its proper divisors (293783575176).

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

112042063224 is a wasteful number, since it uses less digits than its factorization.

112042063224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29115 (or 29108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 112042063224 in words is "one hundred twelve billion, forty-two million, sixty-three thousand, two hundred twenty-four".