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113096503296 = 21232721729127
BaseRepresentation
bin110100101010100010…
…0111011000000000000
3101210220220000122100100
41221111010323000000
53323110201101141
6123542242322400
711112431262600
oct1512504730000
9353826018310
10113096503296
1143a67033947
1219b03959400
13a884b9c48a
14568c54ac00
152e1dda00b6
hex1a5513b000

113096503296 has 936 divisors, whose sum is σ = 419525982720. Its totient is φ = 29132587008.

The previous prime is 113096503271. The next prime is 113096503309. The reversal of 113096503296 is 692305690311.

113096503296 is a `hidden beast` number, since 1 + 1 + 30 + 96 + 503 + 29 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 890523585 + ... + 890523711.

It is an arithmetic number, because the mean of its divisors is an integer number (448211520).

Almost surely, 2113096503296 is an apocalyptic number.

113096503296 is a gapful number since it is divisible by the number (16) 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 113096503296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209762991360).

113096503296 is an abundant number, since it is smaller than the sum of its proper divisors (306429479424).

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

113096503296 is a wasteful number, since it uses less digits than its factorization.

113096503296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 113096503296 in words is "one hundred thirteen billion, ninety-six million, five hundred three thousand, two hundred ninety-six".