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113230461600 = 25335217413011
BaseRepresentation
bin110100101110100001…
…1111011101010100000
3101211021020002102121000
41221131003323222200
53323343444232400
6124003425432000
711115646020564
oct1513503735240
9354236072530
10113230461600
1144025709793
1219b4079b600
13a8a6872849
1456a225b6a4
152e2aa11600
hex1a5d0fbaa0

113230461600 has 288 divisors, whose sum is σ = 409888140480. Its totient is φ = 30167424000.

The previous prime is 113230461599. The next prime is 113230461611. The reversal of 113230461600 is 6164032311.

113230461600 is a `hidden beast` number, since 1 + 13 + 2 + 3 + 0 + 46 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1132304616002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37604095 + ... + 37607105.

It is an arithmetic number, because the mean of its divisors is an integer number (1423222710).

Almost surely, 2113230461600 is an apocalyptic number.

113230461600 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 113230461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204944070240).

113230461600 is an abundant number, since it is smaller than the sum of its proper divisors (296657678880).

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

113230461600 is a wasteful number, since it uses less digits than its factorization.

113230461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 113230461600 its reverse (6164032311), we get a palindrome (119394493911).

The spelling of 113230461600 in words is "one hundred thirteen billion, two hundred thirty million, four hundred sixty-one thousand, six hundred".