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112304073924 = 2232727921012
BaseRepresentation
bin110100010010111011…
…0000010110011000100
3101201212122221001121100
41220211312002303010
53314444320331144
6123331454020100
711053666610100
oct1504566026304
9351778831540
10112304073924
114369a7a3a39
12199224a7630
13a78996a463
1456151d2900
152dc4521269
hex1a25d82cc4

112304073924 has 243 divisors, whose sum is σ = 337804739181. Its totient is φ = 31367044800.

The previous prime is 112304073911. The next prime is 112304073977. The reversal of 112304073924 is 429370403211.

It is a happy number.

The square root of 112304073924 is 335118.

It is a perfect power (a square), and thus also a powerful number.

112304073924 is a `hidden beast` number, since 11 + 230 + 407 + 3 + 9 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107900424324 + 4403649600 = 328482^2 + 66360^2 .

It is a super-2 number, since 2×1123040739242 (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 an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1111921474 + ... + 1111921574.

Almost surely, 2112304073924 is an apocalyptic number.

112304073924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

112304073924 is the 335118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112304073924

112304073924 is an abundant number, since it is smaller than the sum of its proper divisors (225500665257).

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

112304073924 is a wasteful number, since it uses less digits than its factorization.

112304073924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 112304073924 by its sum of digits (36), we get a square (4042946661264 = 20107082).

112304073924 divided by its sum of digits (36) gives a square (3119557609 = 558532).

The spelling of 112304073924 in words is "one hundred twelve billion, three hundred four million, seventy-three thousand, nine hundred twenty-four".