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20022101012100 = 223521113577446881
BaseRepresentation
bin1001000110101110000100…
…01101111110111010000100
32121220002112122102020200110
410203113002031332322010
510111020230324341400
6110330005355313020
74134356220356325
oct443270215767204
977802478366613
1020022101012100
11641a3640565a0
1222b450114b770
13b230cb0420a5
144d31095b444c
1524ac4a2b8e50
hex1235c237ee84

20022101012100 has 144 divisors (see below), whose sum is σ = 63201827699136. Its totient is φ = 4853474304000.

The previous prime is 20022101012087. The next prime is 20022101012201. The reversal of 20022101012100 is 121010122002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44580660 + ... + 45027540.

It is an arithmetic number, because the mean of its divisors is an integer number (438901581244).

Almost surely, 220022101012100 is an apocalyptic number.

20022101012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022101012100 is an abundant number, since it is smaller than the sum of its proper divisors (43179726687036).

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

20022101012100 is a wasteful number, since it uses less digits than its factorization.

20022101012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460486 (or 460479 counting only the distinct ones).

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

Adding to 20022101012100 its reverse (121010122002), we get a palindrome (20143111134102).

The spelling of 20022101012100 in words is "twenty trillion, twenty-two billion, one hundred one million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 13577 27154 40731 54308 67885 81462 135770 149347 162924 203655 271540 298694 339425 407310 446881 448041 597388 678850 746735 814620 893762 896082 1018275 1340643 1357700 1493470 1787524 1792164 2036550 2234405 2240205 2681286 2986940 3733675 4073100 4468810 4480410 4915691 5362572 6703215 7467350 8937620 8960820 9831382 11172025 11201025 13406430 14747073 14934700 19662764 22344050 22402050 24578455 26812860 29494146 33516075 44688100 44804100 49156910 58988292 67032150 73735365 98313820 122892275 134064300 147470730 245784550 294941460 368676825 491569100 737353650 1474707300 6067303337 12134606674 18201910011 24269213348 30336516685 36403820022 60673033370 66740336707 72807640044 91009550055 121346066740 133480673414 151682583425 182019100110 200221010121 266961346828 303365166850 333701683535 364038200220 400442020242 455047750275 606730333700 667403367070 800884040484 910095500550 1001105050605 1334806734140 1668508417675 1820191001100 2002210101210 3337016835350 4004420202420 5005525253025 6674033670700 10011050506050 20022101012100