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13105100 = 2252294519
BaseRepresentation
bin110001111111…
…011111001100
3220122210211002
4301333133030
511323330400
61144515432
7216251201
oct61773714
926583732
1013105100
117441068
12447bb78
13293acc8
141a51ca8
15123ced5
hexc7f7cc

13105100 has 36 divisors (see below), whose sum is σ = 29425200. Its totient is φ = 5060160.

The previous prime is 13105093. The next prime is 13105121. The reversal of 13105100 is 150131.

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, 641 + ... + 5159.

Almost surely, 213105100 is an apocalyptic number.

13105100 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 13105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712600).

13105100 is an abundant number, since it is smaller than the sum of its proper divisors (16320100).

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

13105100 is a wasteful number, since it uses less digits than its factorization.

13105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 13105100 is about 3620.0966837917. The cubic root of 13105100 is about 235.7654233359.

Adding to 13105100 its reverse (150131), we get a palindrome (13255231).

The spelling of 13105100 in words is "thirteen million, one hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4519 9038 18076 22595 45190 90380 112975 131051 225950 262102 451900 524204 655255 1310510 2621020 3276275 6552550 13105100