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20124210120 = 23357293672251
BaseRepresentation
bin10010101111011111…
…110001001111001000
31220221111020210111120
4102233133301033020
5312203244210440
613124523355240
71311460651350
oct225737611710
956844223446
1020124210120
118597656a13
123a97682b20
131b89346c51
14d8c9b9b60
157cbb03dd0
hex4af7f13c8

20124210120 has 256 divisors, whose sum is σ = 71602790400. Its totient is φ = 4427136000.

The previous prime is 20124210097. The next prime is 20124210151. The reversal of 20124210120 is 2101242102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20124210120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8938995 + ... + 8941245.

It is an arithmetic number, because the mean of its divisors is an integer number (279698400).

Almost surely, 220124210120 is an apocalyptic number.

20124210120 is a gapful number since it is divisible by the number (20) 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 20124210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35801395200).

20124210120 is an abundant number, since it is smaller than the sum of its proper divisors (51478580280).

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

20124210120 is a wasteful number, since it uses less digits than its factorization.

20124210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20124210120 its reverse (2101242102), we get a palindrome (22225452222).

The spelling of 20124210120 in words is "twenty billion, one hundred twenty-four million, two hundred ten thousand, one hundred twenty".