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12135354300 = 223252233131873
BaseRepresentation
bin10110100110101001…
…01100111110111100
31011022201210212112200
423103110230332330
5144323122314200
65324102431500
7606503544456
oct132324547674
934281725480
1012135354300
115168100333
122428132590
1311b5206424
148319b32d6
154b05aa800
hex2d352cfbc

12135354300 has 216 divisors, whose sum is σ = 39839470944. Its totient is φ = 3083857920.

The previous prime is 12135354281. The next prime is 12135354311. The reversal of 12135354300 is 345353121.

12135354300 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 5 + 354 + 300 = 666.

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, 6478164 + ... + 6480036.

Almost surely, 212135354300 is an apocalyptic number.

12135354300 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 12135354300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19919735472).

12135354300 is an abundant number, since it is smaller than the sum of its proper divisors (27704116644).

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

12135354300 is a wasteful number, since it uses less digits than its factorization.

12135354300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 12135354300 in words is "twelve billion, one hundred thirty-five million, three hundred fifty-four thousand, three hundred".