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12334130100 = 223252471012887
BaseRepresentation
bin10110111110010101…
…11110001110110100
31011211120211201200100
423133022332032310
5200230014130400
65355523114100
7614436242655
oct133712761664
934746751610
1012334130100
11525a327556
122482812930
131217452446
1485015752c
154c2c72100
hex2df2be3b4

12334130100 has 216 divisors, whose sum is σ = 39887947008. Its totient is φ = 3186144000.

The previous prime is 12334130093. The next prime is 12334130183. The reversal of 12334130100 is 103143321.

12334130100 is a `hidden beast` number, since 1 + 23 + 341 + 301 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4270857 + ... + 4273743.

Almost surely, 212334130100 is an apocalyptic number.

12334130100 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 12334130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943973504).

12334130100 is an abundant number, since it is smaller than the sum of its proper divisors (27553816908).

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

12334130100 is a wasteful number, since it uses less digits than its factorization.

12334130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12334130100 its reverse (103143321), we get a palindrome (12437273421).

The spelling of 12334130100 in words is "twelve billion, three hundred thirty-four million, one hundred thirty thousand, one hundred".