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13097100 = 22352149293
BaseRepresentation
bin110001111101…
…100010001100
3220122101211210
4301331202030
511323101400
61144414420
7216215652
oct61754214
926571753
1013097100
117436055
124477410
132937483
141a4cdd2
15123a950
hexc7d88c

13097100 has 72 divisors (see below), whose sum is σ = 38278800. Its totient is φ = 3457280.

The previous prime is 13097087. The next prime is 13097111. The reversal of 13097100 is 179031.

13097100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44554 + ... + 44846.

It is an arithmetic number, because the mean of its divisors is an integer number (531650).

Almost surely, 213097100 is an apocalyptic number.

13097100 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 13097100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139400).

13097100 is an abundant number, since it is smaller than the sum of its proper divisors (25181700).

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

13097100 is a wasteful number, since it uses less digits than its factorization.

13097100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 13097100 is about 3618.9915722477. The cubic root of 13097100 is about 235.7174392862.

The spelling of 13097100 in words is "thirteen million, ninety-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 293 298 300 447 586 596 745 879 894 1172 1465 1490 1758 1788 2235 2930 2980 3516 3725 4395 4470 5860 7325 7450 8790 8940 11175 14650 14900 17580 21975 22350 29300 43657 43950 44700 87314 87900 130971 174628 218285 261942 436570 523884 654855 873140 1091425 1309710 2182850 2619420 3274275 4365700 6548550 13097100