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12320100 = 223652132
BaseRepresentation
bin101110111111…
…110101100100
3212011221000000
4232333311210
511123220400
61120021300
7206501442
oct56776544
925157000
1012320100
116a55301
124161830
132724900
1418c9b92
151135600
hexbbfd64

12320100 has 189 divisors, whose sum is σ = 43404123. Its totient is φ = 3032640.

The previous prime is 12320093. The next prime is 12320117. The reversal of 12320100 is 102321.

It is a happy number.

The square root of 12320100 is 3510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 9144576 = 1782^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 947694 + ... + 947706.

Almost surely, 212320100 is an apocalyptic number.

12320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12320100 is the 3510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320100

12320100 is an abundant number, since it is smaller than the sum of its proper divisors (31084023).

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

12320100 is a wasteful number, since it uses less digits than its factorization.

12320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 12320100 is about 230.9606949486.

Adding to 12320100 its reverse (102321), we get a palindrome (12422421).

The spelling of 12320100 in words is "twelve million, three hundred twenty thousand, one hundred".