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2022000210120 = 2335111556998389
BaseRepresentation
bin11101011011001000100…
…110101011000011001000
321011022010200010022200010
4131123020212223003020
5231112024023210440
64144521041511520
7266041023130242
oct35331046530310
97138120108603
102022000210120
1170a586450320
12287a639425a0
1311889b45ab97
146dc18687092
15378e464d580
hex1d6c89ab0c8

2022000210120 has 128 divisors (see below), whose sum is σ = 6617947536000. Its totient is φ = 490145402880.

The previous prime is 2022000210031. The next prime is 2022000210157. The reversal of 2022000210120 is 210120002202.

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 = 2022000210096 and 2022000210105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20501886 + ... + 20600274.

It is an arithmetic number, because the mean of its divisors is an integer number (51702715125).

Almost surely, 22022000210120 is an apocalyptic number.

2022000210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022000210120 is an abundant number, since it is smaller than the sum of its proper divisors (4595947325880).

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

2022000210120 is a wasteful number, since it uses less digits than its factorization.

2022000210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113983 (or 113979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022000210120 its reverse (210120002202), we get a palindrome (2232120212322).

The spelling of 2022000210120 in words is "two trillion, twenty-two billion, two hundred ten thousand, one hundred twenty".

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 15569 31138 46707 62276 77845 93414 98389 124552 155690 171259 186828 196778 233535 295167 311380 342518 373656 393556 467070 491945 513777 590334 622760 685036 787112 856295 934140 983890 1027554 1082279 1180668 1370072 1475835 1712590 1868280 1967780 2055108 2164558 2361336 2568885 2951670 3246837 3425180 3935560 4110216 4329116 5137770 5411395 5903340 6493674 6850360 8658232 10275540 10822790 11806680 12987348 16234185 20551080 21645580 25974696 32468370 43291160 64936740 129873480 1531818341 3063636682 4595455023 6127273364 7659091705 9190910046 12254546728 15318183410 16850001751 18381820092 22977275115 30636366820 33700003502 36763640184 45954550230 50550005253 61272733640 67400007004 84250008755 91909100460 101100010506 134800014008 168500017510 183818200920 202200021012 252750026265 337000035020 404400042024 505500052530 674000070040 1011000105060 2022000210120