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12420233100 = 223252112943261
BaseRepresentation
bin10111001000100110…
…11011011110001100
31012001120212012210100
423210103123132030
5200414034424400
65412240411100
7616533145062
oct134423333614
935046765710
1012420233100
1152a3996a60
1224a7616a90
13122c23b672
1485b76c032
154ca5ce100
hex2e44db78c

12420233100 has 216 divisors, whose sum is σ = 43935156720. Its totient is φ = 2907072000.

The previous prime is 12420233069. The next prime is 12420233107. The reversal of 12420233100 is 133202421.

12420233100 is a `hidden beast` number, since 1 + 2 + 420 + 233 + 10 + 0 = 666.

It is a super-2 number, since 2×124202331002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12420233107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265470 + ... + 308730.

Almost surely, 212420233100 is an apocalyptic number.

12420233100 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 12420233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967578360).

12420233100 is an abundant number, since it is smaller than the sum of its proper divisors (31514923620).

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

12420233100 is a wasteful number, since it uses less digits than its factorization.

12420233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43321 (or 43311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12420233100 its reverse (133202421), we get a palindrome (12553435521).

The spelling of 12420233100 in words is "twelve billion, four hundred twenty million, two hundred thirty-three thousand, one hundred".