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10657304200 = 235253286521
BaseRepresentation
bin10011110110011100…
…11000111010001000
31000111201121010222101
421323032120322020
5133311232213300
64521303003144
7525045406504
oct117316307210
930451533871
1010657304200
114579852424
1220951394b4
13100ac2ac7a
14731585304
15425949b6a
hex27b398e88

10657304200 has 24 divisors (see below), whose sum is σ = 24778232730. Its totient is φ = 4262921600.

The previous prime is 10657304159. The next prime is 10657304201. The reversal of 10657304200 is 240375601.

10657304200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10213527844 + 443776356 = 101062^2 + 21066^2 .

It is a super-2 number, since 2×106573042002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10657304201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26643061 + ... + 26643460.

Almost surely, 210657304200 is an apocalyptic number.

10657304200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10657304200 is an abundant number, since it is smaller than the sum of its proper divisors (14120928530).

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

10657304200 is a wasteful number, since it uses less digits than its factorization.

10657304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53286537 (or 53286528 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 10657304200 its reverse (240375601), we get a palindrome (10897679801).

The spelling of 10657304200 in words is "ten billion, six hundred fifty-seven million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 53286521 106573042 213146084 266432605 426292168 532865210 1065730420 1332163025 2131460840 2664326050 5328652100 10657304200