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13321900 = 22521011319
BaseRepresentation
bin110010110100…
…011010101100
3221001211012201
4302310122230
511402300100
61153311244
7221143234
oct62643254
927054181
1013321900
117579a39
124565524
1329b58a7
141aaacc4
15128236a
hexcb46ac

13321900 has 36 divisors (see below), whose sum is σ = 29216880. Its totient is φ = 5272000.

The previous prime is 13321879. The next prime is 13321927. The reversal of 13321900 is 912331.

13321900 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 2×133219002 = 354946039220000, which contains 22 as substring.

It is a congruent number.

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, 9441 + ... + 10759.

It is an arithmetic number, because the mean of its divisors is an integer number (811580).

Almost surely, 213321900 is an apocalyptic number.

13321900 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 13321900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608440).

13321900 is an abundant number, since it is smaller than the sum of its proper divisors (15894980).

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

13321900 is a wasteful number, since it uses less digits than its factorization.

13321900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 13321900 is about 3649.9178072937. The cubic root of 13321900 is about 237.0584223388.

The spelling of 13321900 in words is "thirteen million, three hundred twenty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 1319 2020 2525 2638 5050 5276 6595 10100 13190 26380 32975 65950 131900 133219 266438 532876 666095 1332190 2664380 3330475 6660950 13321900