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113300121220 = 22511133143113263
BaseRepresentation
bin110100110000100110…
…1101010011010000100
3101211110002011111121221
41221201031222122010
53324014312334340
6124014354450124
711120453066056
oct1514115523204
9354402144557
10113300121220
1144060a68020
1219b5bb93944
13a8b8122460
1456ab5d18d6
152e31bc144a
hex1a6136a684

113300121220 has 384 divisors, whose sum is σ = 298999185408. Its totient is φ = 35494502400.

The previous prime is 113300121203. The next prime is 113300121241. The reversal of 113300121220 is 22121003311.

It is a junction number, because it is equal to n+sod(n) for n = 113300121194 and 113300121203.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 430798809 + ... + 430799071.

It is an arithmetic number, because the mean of its divisors is an integer number (778643712).

Almost surely, 2113300121220 is an apocalyptic number.

113300121220 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 113300121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149499592704).

113300121220 is an abundant number, since it is smaller than the sum of its proper divisors (185699064188).

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

113300121220 is a wasteful number, since it uses less digits than its factorization.

113300121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113300121220 its reverse (22121003311), we get a palindrome (135421124531).

The spelling of 113300121220 in words is "one hundred thirteen billion, three hundred million, one hundred twenty-one thousand, two hundred twenty".