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12301332100 = 2252123013321
BaseRepresentation
bin10110111010011011…
…10110111010000100
31011202022010102021121
423131031312322010
5200143120111400
65352352123324
7613560411661
oct133515667204
934668112247
1012301332100
115242865972
122473836544
13121070aa45
14849a5aa68
154bee4421a
hex2dd376e84

12301332100 has 18 divisors (see below), whose sum is σ = 26693890874. Its totient is φ = 4920532800.

The previous prime is 12301332097. The next prime is 12301332101. The reversal of 12301332100 is 123310321.

It can be written as a sum of positive squares in 3 ways, for example, as 163021824 + 12138310276 = 12768^2 + 110174^2 .

It is not an unprimeable number, because it can be changed into a prime (12301332101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61506561 + ... + 61506760.

Almost surely, 212301332100 is an apocalyptic number.

12301332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301332100 is an abundant number, since it is smaller than the sum of its proper divisors (14392558774).

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

12301332100 is a wasteful number, since it uses less digits than its factorization.

12301332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123013335 (or 123013328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12301332100 its reverse (123310321), we get a palindrome (12424642421).

The spelling of 12301332100 in words is "twelve billion, three hundred one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 123013321 246026642 492053284 615066605 1230133210 2460266420 3075333025 6150666050 12301332100