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20002100120020 = 22519284471850357
BaseRepresentation
bin1001000110001000110100…
…00100101000100111010100
32121211011220202012122201201
410203010122010220213110
510110203300112320040
6110312500555002244
74133050454525524
oct443043204504724
977734822178651
1020002100120020
116411930078317
1222b065aa39384
13b212614143c5
144d216d139684
1524a479423a9a
hex12311a1289d4

20002100120020 has 48 divisors (see below), whose sum is σ = 44216746882560. Its totient is φ = 7579472655744.

The previous prime is 20002100119973. The next prime is 20002100120029. The reversal of 20002100120020 is 2002100120002.

It is a super-2 number, since 2×200021001200202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20002100119979 and 20002100120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002100120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9884682 + ... + 11735038.

It is an arithmetic number, because the mean of its divisors is an integer number (921182226720).

Almost surely, 220002100120020 is an apocalyptic number.

20002100120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002100120020 is an abundant number, since it is smaller than the sum of its proper divisors (24214646762540).

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

20002100120020 is a wasteful number, since it uses less digits than its factorization.

20002100120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878832 (or 1878830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20002100120020 its reverse (2002100120002), we get a palindrome (22004200240022).

The spelling of 20002100120020 in words is "twenty trillion, two billion, one hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 28447 56894 113788 142235 284470 540493 568940 1080986 1850357 2161972 2702465 3700714 5404930 7401428 9251785 10809860 18503570 35156783 37007140 70313566 140627132 175783915 351567830 703135660 52637105579 105274211158 210548422316 263185527895 526371055790 1000105006001 1052742111580 2000210012002 4000420024004 5000525030005 10001050060010 20002100120020