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113308211016000 = 2633537113136171
BaseRepresentation
bin11001110000110110011111…
…101010101111000101000000
3112212012011022001012220202000
4121300312133222233011000
5104322420204010003000
61040553023515024000
732603151045264420
oct3160663752570500
9485164261186660
10113308211016000
11331158191a8000
121085ba8273b000
134b2bbc2ab64c0
141dda20a692480
15d176173e4000
hex670d9faaf140

113308211016000 has 7168 divisors, whose sum is σ = 580058233896960. Its totient is φ = 21076070400000.

The previous prime is 113308211015971. The next prime is 113308211016001. The reversal of 113308211016000 is 610112803311.

113308211016000 is a `hidden beast` number, since 1 + 1 + 3 + 30 + 8 + 21 + 1 + 0 + 1 + 600 + 0 = 666.

113308211016000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113308211016001) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1595890295965 + ... + 1595890296035.

It is an arithmetic number, because the mean of its divisors is an integer number (80923302720).

Almost surely, 2113308211016000 is an apocalyptic number.

113308211016000 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 113308211016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290029116948480).

113308211016000 is an abundant number, since it is smaller than the sum of its proper divisors (466750022880960).

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

113308211016000 is a wasteful number, since it uses less digits than its factorization.

113308211016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 113308211016000 its reverse (610112803311), we get a palindrome (113918323819311).

The spelling of 113308211016000 in words is "one hundred thirteen trillion, three hundred eight billion, two hundred eleven million, sixteen thousand".