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20100210120 = 2332555833917
BaseRepresentation
bin10010101110000100…
…001101110111001000
31220212211002110200200
4102232010031313020
5312131123210440
613122305132200
71311046652454
oct225604156710
956784073620
1020100210120
118585054401
123a8b62a060
131b84392c73
14d8972d664
157c9962c30
hex4ae10ddc8

20100210120 has 48 divisors (see below), whose sum is σ = 65325684060. Its totient is φ = 5360055936.

The previous prime is 20100210103. The next prime is 20100210127. The reversal of 20100210120 is 2101200102.

It can be written as a sum of positive squares in 2 ways, for example, as 19659965796 + 440244324 = 140214^2 + 20982^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20100210127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27916599 + ... + 27917318.

Almost surely, 220100210120 is an apocalyptic number.

20100210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100210120 is an abundant number, since it is smaller than the sum of its proper divisors (45225473940).

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

20100210120 is a wasteful number, since it uses less digits than its factorization.

20100210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55833934 (or 55833927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100210120 its reverse (2101200102), we get a palindrome (22201410222).

The spelling of 20100210120 in words is "twenty billion, one hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 55833917 111667834 167501751 223335668 279169585 335003502 446671336 502505253 558339170 670007004 837508755 1005010506 1116678340 1340014008 1675017510 2010021012 2233356680 2512526265 3350035020 4020042024 5025052530 6700070040 10050105060 20100210120