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10113121200 = 24352713372503
BaseRepresentation
bin10010110101100100…
…11111101110110000
3222002210121210020110
421122302133232300
5131202424334300
64351303141320
7505420053240
oct113262375660
928083553213
1010113121200
11431a658706
121b62a44840
13c522763b0
146bd1abb20
153e2ca5550
hex25ac9fbb0

10113121200 has 480 divisors, whose sum is σ = 40965600256. Its totient is φ = 2075258880.

The previous prime is 10113121199. The next prime is 10113121219. The reversal of 10113121200 is 212131101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 4039149 + ... + 4041651.

Almost surely, 210113121200 is an apocalyptic number.

10113121200 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 10113121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482800128).

10113121200 is an abundant number, since it is smaller than the sum of its proper divisors (30852479056).

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

10113121200 is a wasteful number, since it uses less digits than its factorization.

10113121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10113121200 its reverse (212131101), we get a palindrome (10325252301).

Subtracting from 10113121200 its reverse (212131101), we obtain a palindrome (9900990099).

The spelling of 10113121200 in words is "ten billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred".