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113425999200 = 2532521731167179
BaseRepresentation
bin110100110100010110…
…1110110010101100000
3101211202212000202202100
41221220231312111200
53324244023433300
6124035052450400
711123542041213
oct1515055662540
9354685022670
10113425999200
1144116024008
1219b96179a00
13a908226977
1456c01db77a
152e3cc88700
hex1a68b76560

113425999200 has 864 divisors, whose sum is σ = 442231695360. Its totient is φ = 27231436800.

The previous prime is 113425999177. The next prime is 113425999207. The reversal of 113425999200 is 2999524311.

113425999200 is a `hidden beast` number, since 1 + 1 + 34 + 2 + 599 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113425999207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 633664711 + ... + 633664889.

It is an arithmetic number, because the mean of its divisors is an integer number (511842240).

Almost surely, 2113425999200 is an apocalyptic number.

113425999200 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 113425999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221115847680).

113425999200 is an abundant number, since it is smaller than the sum of its proper divisors (328805696160).

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

113425999200 is a wasteful number, since it uses less digits than its factorization.

113425999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 113425999200 in words is "one hundred thirteen billion, four hundred twenty-five million, nine hundred ninety-nine thousand, two hundred".