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10843056900 = 223452132892
BaseRepresentation
bin10100001100100101…
…11110101100000100
31000222200010100210000
422012102332230010
5134201310310100
64551540201300
7532462314534
oct120622765404
930880110700
1010843056900
114664694155
122127399230
13103a567400
1474c0d94c4
15436ddc900
hex2864beb04

10843056900 has 405 divisors, whose sum is σ = 38493103341. Its totient is φ = 2639070720.

The previous prime is 10843056893. The next prime is 10843057019. The reversal of 10843056900 is 965034801.

The square root of 10843056900 is 104130.

It is a perfect power (a square), and thus also a powerful number.

10843056900 is a `hidden beast` number, since 10 + 84 + 3 + 0 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 10775685636 + 67371264 = 103806^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×108430569002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 121832056 + ... + 121832144.

Almost surely, 210843056900 is an apocalyptic number.

10843056900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10843056900 is the 104130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10843056900

10843056900 is an abundant number, since it is smaller than the sum of its proper divisors (27650046441).

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

10843056900 is a wasteful number, since it uses less digits than its factorization.

10843056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 10843056900 by its sum of digits (36), we get a square (390350048400 = 6247802).

10843056900 divided by its sum of digits (36) gives a square (301196025 = 173552).

The spelling of 10843056900 in words is "ten billion, eight hundred forty-three million, fifty-six thousand, nine hundred".