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12342432300 = 2235211191011949
BaseRepresentation
bin10110111111010101…
…01001001000101100
31011212011110112011020
423133222221020230
5200234130313200
65400421054140
7614566641432
oct133752511054
934764415136
1012342432300
115263a88080
122485557350
13121909b2a3
148512b8d52
154c3861ea0
hex2dfaa922c

12342432300 has 288 divisors, whose sum is σ = 41434848000. Its totient is φ = 2805120000.

The previous prime is 12342432299. The next prime is 12342432307. The reversal of 12342432300 is 323424321.

It is not an unprimeable number, because it can be changed into a prime (12342432307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6331726 + ... + 6333674.

It is an arithmetic number, because the mean of its divisors is an integer number (143871000).

Almost surely, 212342432300 is an apocalyptic number.

12342432300 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 12342432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424000).

12342432300 is an abundant number, since it is smaller than the sum of its proper divisors (29092415700).

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

12342432300 is a wasteful number, since it uses less digits than its factorization.

12342432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12342432300 its reverse (323424321), we get a palindrome (12665856621).

The spelling of 12342432300 in words is "twelve billion, three hundred forty-two million, four hundred thirty-two thousand, three hundred".