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113303130120 = 233253735324097
BaseRepresentation
bin110100110000101100…
…1001001000000001000
3101211110021211101001200
41221201121021000020
53324021100130440
6124014543144200
711120520500265
oct1514131110010
9354407741050
10113303130120
1144062732714
1219b60ba5060
13a8b8936b7b
1456abb7626c
152e320b7c30
hex1a61649008

113303130120 has 192 divisors, whose sum is σ = 379274566320. Its totient is φ = 29313073152.

The previous prime is 113303130079. The next prime is 113303130121. The reversal of 113303130120 is 21031303311.

It is a happy number.

113303130120 is a `hidden beast` number, since 1 + 1 + 330 + 31 + 301 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 85594864356 + 27708265764 = 292566^2 + 166458^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113303130093 and 113303130102.

It is not an unprimeable number, because it can be changed into a prime (113303130121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4689912 + ... + 4714008.

Almost surely, 2113303130120 is an apocalyptic number.

113303130120 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 113303130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189637283160).

113303130120 is an abundant number, since it is smaller than the sum of its proper divisors (265971436200).

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

113303130120 is a wasteful number, since it uses less digits than its factorization.

113303130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24504 (or 24497 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113303130120 its reverse (21031303311), we get a palindrome (134334433431).

The spelling of 113303130120 in words is "one hundred thirteen billion, three hundred three million, one hundred thirty thousand, one hundred twenty".