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20021022000210 = 23571128013094291
BaseRepresentation
bin1001000110101100000011…
…11001111000010001010010
32121212222202110001202122010
410203112001321320101102
510111011023113001320
6110325310332323350
74134320406046140
oct443260171702122
977788673052563
1020021022000210
11641995aa76a30
1222b425b913556
13b22c8862c50a
144d304617a590
1524abd56cbae0
hex123581e78452

20021022000210 has 128 divisors (see below), whose sum is σ = 59928465143808. Its totient is φ = 4158725760000.

The previous prime is 20021022000163. The next prime is 20021022000241. The reversal of 20021022000210 is 1200022012002.

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 63 ways as a sum of consecutive naturals, for example, 4923165 + ... + 8017455.

It is an arithmetic number, because the mean of its divisors is an integer number (468191133936).

Almost surely, 220021022000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021022000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29964232571904).

20021022000210 is an abundant number, since it is smaller than the sum of its proper divisors (39907443143598).

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

20021022000210 is a wasteful number, since it uses less digits than its factorization.

20021022000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097120.

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

Adding to 20021022000210 its reverse (1200022012002), we get a palindrome (21221044012212).

The spelling of 20021022000210 in words is "twenty trillion, twenty-one billion, twenty-two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 2801 5602 8403 14005 16806 19607 28010 30811 39214 42015 58821 61622 84030 92433 98035 117642 154055 184866 196070 215677 294105 308110 431354 462165 588210 647031 924330 1078385 1294062 2156770 3094291 3235155 6188582 6470310 9282873 15471455 18565746 21660037 30942910 34037201 43320074 46414365 64980111 68074402 92828730 102111603 108300185 129960222 170186005 204223206 216600370 238260407 324900555 340372010 476520814 510558015 649801110 714781221 1021116030 1191302035 1429562442 2382604070 3573906105 7147812210 8667109091 17334218182 26001327273 43335545455 52002654546 60669763637 86671090910 95338200001 121339527274 130006636365 182009290911 190676400002 260013272730 286014600003 303348818185 364018581822 476691000005 572029200006 606697636370 667367400007 910046454555 953382000010 1334734800014 1430073000015 1820092909110 2002102200021 2860146000030 3336837000035 4004204400042 6673674000070 10010511000105 20021022000210