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10204132100 = 2252102041321
BaseRepresentation
bin10011000000011011…
…01011001100000100
3222100010212121201112
421200031223030010
5131344224211400
64404313544152
7510603456161
oct114015531404
928303777645
1010204132100
114366a6a528
121b89415058
13c680904b6
146cb2dd068
153eac81835
hex26036b304

10204132100 has 18 divisors (see below), whose sum is σ = 22142966874. Its totient is φ = 4081652800.

The previous prime is 10204132087. The next prime is 10204132109. The reversal of 10204132100 is 123140201.

It can be written as a sum of positive squares in 3 ways, for example, as 94633984 + 10109498116 = 9728^2 + 100546^2 .

It is not an unprimeable number, because it can be changed into a prime (10204132109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51020561 + ... + 51020760.

Almost surely, 210204132100 is an apocalyptic number.

10204132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204132100 is an abundant number, since it is smaller than the sum of its proper divisors (11938834774).

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

10204132100 is a wasteful number, since it uses less digits than its factorization.

10204132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102041335 (or 102041328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10204132100 its reverse (123140201), we get a palindrome (10327272301).

The spelling of 10204132100 in words is "ten billion, two hundred four million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102041321 204082642 408165284 510206605 1020413210 2040826420 2551033025 5102066050 10204132100