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12391242300 = 22345214910267
BaseRepresentation
bin10111000101001001…
…10101101000111100
31011222120022022220000
423202210311220330
5200334124223200
65405323154300
7616031551563
oct134244655074
934876268800
1012391242300
115289595818
122499975990
13122622ab48
14857982bda
154c7ca4300
hex2e2935a3c

12391242300 has 180 divisors, whose sum is σ = 40441031400. Its totient is φ = 3281834880.

The previous prime is 12391242277. The next prime is 12391242329. The reversal of 12391242300 is 324219321.

It is a happy number.

12391242300 is a `hidden beast` number, since 1 + 2 + 391 + 242 + 30 + 0 = 666.

12391242300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1201767 + ... + 1212033.

Almost surely, 212391242300 is an apocalyptic number.

12391242300 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 12391242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20220515700).

12391242300 is an abundant number, since it is smaller than the sum of its proper divisors (28049789100).

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

12391242300 is a wasteful number, since it uses less digits than its factorization.

12391242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12391242300 in words is "twelve billion, three hundred ninety-one million, two hundred forty-two thousand, three hundred".