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12254342100 = 223527111324373
BaseRepresentation
bin10110110100110101…
…00110101111010100
31011122000201002010020
423122122212233110
5200044102421400
65343553025140
7612450121620
oct133232465724
934560632106
1012254342100
115219290660
12245bb551b0
131203a67700
14843708180
154bac612a0
hex2da6a6bd4

12254342100 has 864 divisors, whose sum is σ = 49650822144. Its totient is φ = 2264371200.

The previous prime is 12254342083. The next prime is 12254342117. The reversal of 12254342100 is 124345221.

It is an interprime number because it is at equal distance from previous prime (12254342083) and next prime (12254342117).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 167867664 + ... + 167867736.

Almost surely, 212254342100 is an apocalyptic number.

12254342100 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 12254342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24825411072).

12254342100 is an abundant number, since it is smaller than the sum of its proper divisors (37396480044).

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

12254342100 is a wasteful number, since it uses less digits than its factorization.

12254342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12254342100 its reverse (124345221), we get a palindrome (12378687321).

The spelling of 12254342100 in words is "twelve billion, two hundred fifty-four million, three hundred forty-two thousand, one hundred".