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10129900 = 2252119209
BaseRepresentation
bin100110101001…
…000111101100
3201001122121111
4212221013230
510043124100
61001041404
7152050144
oct46510754
921048544
1010129900
115799820
123486264
132138a31
1414b9924
15d516ba
hex9a91ec

10129900 has 36 divisors (see below), whose sum is σ = 23982840. Its totient is φ = 3683200.

The previous prime is 10129871. The next prime is 10129919. The reversal of 10129900 is 992101.

10129900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101299002 = 205229748020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3505 + ... + 5704.

It is an arithmetic number, because the mean of its divisors is an integer number (666190).

It is a vampire number, since it can be written as 11009209 (with its own digits).

Almost surely, 210129900 is an apocalyptic number.

10129900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10129900 is an abundant number, since it is smaller than the sum of its proper divisors (13852940).

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

10129900 is a wasteful number, since it uses less digits than its factorization.

10129900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 10129900 is about 3182.7503829235. The cubic root of 10129900 is about 216.3723287963.

The spelling of 10129900 in words is "ten million, one hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9209 18418 36836 46045 92090 101299 184180 202598 230225 405196 460450 506495 920900 1012990 2025980 2532475 5064950 10129900