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210010012122000 = 2435395336727879
BaseRepresentation
bin101111110000000011000100…
…001010111111101110010000
31000112120202112211102210210010
4233300003010022333232100
5210011301001100401000
62022353133453034520
762143502606422146
oct5760030412775620
91015522484383703
10210010012122000
1160a08822990862
121b679420185a40
139024b2278a23c
1439c077874d596
151942c97e86d50
hexbf00c42bfb90

210010012122000 has 160 divisors (see below), whose sum is σ = 677782761626880. Its totient is φ = 55943903769600.

The previous prime is 210010012121981. The next prime is 210010012122019. The reversal of 210010012122000 is 221210010012.

It is an interprime number because it is at equal distance from previous prime (210010012121981) and next prime (210010012122019).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12645940 + ... + 24081939.

It is an arithmetic number, because the mean of its divisors is an integer number (4236142260168).

Almost surely, 2210010012122000 is an apocalyptic number.

210010012122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010012122000 is an abundant number, since it is smaller than the sum of its proper divisors (467772749504880).

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

210010012122000 is a wasteful number, since it uses less digits than its factorization.

210010012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36728858 (or 36728842 counting only the distinct ones).

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

Adding to 210010012122000 its reverse (221210010012), we get a palindrome (210231222132012).

The spelling of 210010012122000 in words is "two hundred ten trillion, ten billion, twelve million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 953 1000 1200 1500 1906 2000 2859 3000 3812 4765 5718 6000 7624 9530 11436 14295 15248 19060 22872 23825 28590 38120 45744 47650 57180 71475 76240 95300 114360 119125 142950 190600 228720 238250 285900 357375 381200 476500 571800 714750 953000 1143600 1429500 1906000 2859000 5718000 36727879 73455758 110183637 146911516 183639395 220367274 293823032 367278790 440734548 550918185 587646064 734557580 881469096 918196975 1101836370 1469115160 1762938192 1836393950 2203672740 2754590925 2938230320 3672787900 4407345480 4590984875 5509181850 7345575800 8814690960 9181969750 11018363700 13772954625 14691151600 18363939500 22036727400 27545909250 35001668687 36727879000 44073454800 55091818500 70003337374 73455758000 105005006061 110183637000 140006674748 175008343435 210010012122 220367274000 280013349496 350016686870 420020024244 525025030305 560026698992 700033373740 840040048488 875041717175 1050050060610 1400066747480 1680080096976 1750083434350 2100100121220 2625125151525 2800133494960 3500166868700 4200200242440 4375208585875 5250250303050 7000333737400 8400400484880 8750417171750 10500500606100 13125625757625 14000667474800 17500834343500 21001001212200 26251251515250 35001668687000 42002002424400 52502503030500 70003337374000 105005006061000 210010012122000