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210110022000120 = 233511159174259091
BaseRepresentation
bin101111110001100000001101…
…001110011001110111111000
31000112221022200200200000021010
4233301200031032121313320
5210014420311113000440
62022511113411513520
762153643133361634
oct5761401516316770
91015838620600233
10210110022000120
1160a471839534a0
121b6948912b88a0
1390313a0347c08
1439c5544c21dc4
15194569cec3580
hexbf180d399df8

210110022000120 has 64 divisors (see below), whose sum is σ = 687632799277440. Its totient is φ = 50935762908800.

The previous prime is 210110022000029. The next prime is 210110022000173. The reversal of 210110022000120 is 21000220011012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210110022000096 and 210110022000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79587128226 + ... + 79587130865.

It is an arithmetic number, because the mean of its divisors is an integer number (10744262488710).

Almost surely, 2210110022000120 is an apocalyptic number.

210110022000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210110022000120 is an abundant number, since it is smaller than the sum of its proper divisors (477522777277320).

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

210110022000120 is a wasteful number, since it uses less digits than its factorization.

210110022000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159174259116 (or 159174259112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210110022000120 its reverse (21000220011012), we get a palindrome (231110242011132).

The spelling of 210110022000120 in words is "two hundred ten trillion, one hundred ten billion, twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 159174259091 318348518182 477522777273 636697036364 795871295455 955045554546 1273394072728 1591742590910 1750916850001 1910091109092 2387613886365 3183485181820 3501833700002 3820182218184 4775227772730 5252750550003 6366970363640 7003667400004 8754584250005 9550455545460 10505501100006 14007334800008 17509168500010 19100911090920 21011002200012 26263752750015 35018337000020 42022004400024 52527505500030 70036674000040 105055011000060 210110022000120