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13232113200 = 24325217216211
BaseRepresentation
bin11000101001011001…
…00000011000110000
31021011011112222220200
430110230200120300
5204044410110300
610025002035200
7645622051335
oct142454403060
937134488820
1013232113200
115680201549
1226934a8b00
13132b4c0aa7
148d750a98c
15526a01200
hex314b20630

13232113200 has 180 divisors, whose sum is σ = 48620457288. Its totient is φ = 3320985600.

The previous prime is 13232113199. The next prime is 13232113231. The reversal of 13232113200 is 231123231.

13232113200 is a `hidden beast` number, since 1 + 323 + 21 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×132321132002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46906 + ... + 169305.

Almost surely, 213232113200 is an apocalyptic number.

13232113200 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 13232113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24310228644).

13232113200 is an abundant number, since it is smaller than the sum of its proper divisors (35388344088).

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

13232113200 is a wasteful number, since it uses less digits than its factorization.

13232113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216252 (or 216238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13232113200 its reverse (231123231), we get a palindrome (13463236431).

The spelling of 13232113200 in words is "thirteen billion, two hundred thirty-two million, one hundred thirteen thousand, two hundred".