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13221132300 = 223252371013931
BaseRepresentation
bin11000101000000101…
…00111100000001100
31021010101220002221200
430110002213200030
5204034102213200
610023530425500
7645426525135
oct142402474014
937111802850
1013221132300
115674a91422
12268b892290
13132914790c
148d5c8cc8c
15525a82800
hex3140a780c

13221132300 has 216 divisors, whose sum is σ = 42993258672. Its totient is φ = 3395520000.

The previous prime is 13221132269. The next prime is 13221132307. The reversal of 13221132300 is 323112231.

13221132300 is a `hidden beast` number, since 1 + 322 + 11 + 32 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13221132307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3361335 + ... + 3365265.

Almost surely, 213221132300 is an apocalyptic number.

13221132300 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 13221132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21496629336).

13221132300 is an abundant number, since it is smaller than the sum of its proper divisors (29772126372).

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

13221132300 is a wasteful number, since it uses less digits than its factorization.

13221132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4079 counting only the distinct ones).

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

Adding to 13221132300 its reverse (323112231), we get a palindrome (13544244531).

The spelling of 13221132300 in words is "thirteen billion, two hundred twenty-one million, one hundred thirty-two thousand, three hundred".