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20002100201121 = 33789149291199
BaseRepresentation
bin1001000110001000110100…
…00100111100011010100001
32121211011220202100202222110
410203010122010330122201
510110203300122413441
6110312501000425533
74133050455314133
oct443043204743241
977734822322873
1020002100201121
116411930123245
1222b065aa782a9
13b212614422ac
144d216d15b053
1524a47943cb16
hex12311a13c6a1

20002100201121 has 48 divisors (see below), whose sum is σ = 27885465216000. Its totient is φ = 12742318803456.

The previous prime is 20002100201107. The next prime is 20002100201129. The reversal of 20002100201121 is 12110200120002.

It is not a de Polignac number, because 20002100201121 - 237 = 19864661247649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20002100201097 and 20002100201106.

It is not an unprimeable number, because it can be changed into a prime (20002100201129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219278080 + ... + 219369278.

It is an arithmetic number, because the mean of its divisors is an integer number (580947192000).

Almost surely, 220002100201121 is an apocalyptic number.

It is an amenable number.

20002100201121 is a deficient number, since it is larger than the sum of its proper divisors (7883365014879).

20002100201121 is an equidigital number, since it uses as much as digits as its factorization.

20002100201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91626 (or 91477 counting only the distinct ones).

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

Adding to 20002100201121 its reverse (12110200120002), we get a palindrome (32112300321123).

The spelling of 20002100201121 in words is "twenty trillion, two billion, one hundred million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 37 89 111 149 267 447 3293 5513 9879 13261 16539 22201 39783 66603 91199 273597 490657 821437 1471971 1975889 2464311 3374363 5927667 8116711 10123089 13588651 24350133 40765953 73107893 219323679 300318307 502780087 900954921 1209389939 1508340261 2024708999 3628169817 6074126997 44747427743 74914232963 134242283229 180199100911 224742698889 540597302733 6667366733707 20002100201121