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13213032000 = 26353778649
BaseRepresentation
bin11000100111000111…
…01101111001000000
31021002211122120102120
430103203231321000
5204030014011000
610023041044240
7645300630120
oct142343557100
937084576376
1013213032000
115670459563
122689026680
13132756c93c
148d4b80c80
15524ed26a0
hex3138ede40

13213032000 has 224 divisors, whose sum is σ = 49862841600. Its totient is φ = 3020083200.

The previous prime is 13213031989. The next prime is 13213032029. The reversal of 13213032000 is 23031231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128676 + ... + 207324.

Almost surely, 213213032000 is an apocalyptic number.

13213032000 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 13213032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24931420800).

13213032000 is an abundant number, since it is smaller than the sum of its proper divisors (36649809600).

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

13213032000 is an equidigital number, since it uses as much as digits as its factorization.

13213032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78686 (or 78666 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13213032000 its reverse (23031231), we get a palindrome (13236063231).

The spelling of 13213032000 in words is "thirteen billion, two hundred thirteen million, thirty-two thousand".