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20021220112100 = 22521011982299021
BaseRepresentation
bin1001000110101100011011…
…01101100111011011100100
32121220000021020211220001112
410203112031231213123210
510111011424322041400
6110325342130444152
74134325333010624
oct443261555473344
977800236756045
1020021220112100
116419a5188a369
1222b42b6133658
13b22cba6a529c
144d30645ca884
1524abe7cb1835
hex12358db676e4

20021220112100 has 36 divisors (see below), whose sum is σ = 43876206552948. Its totient is φ = 7929196080000.

The previous prime is 20021220112097. The next prime is 20021220112133. The reversal of 20021220112100 is 121102212002.

It can be written as a sum of positive squares in 6 ways, for example, as 138699635776 + 19882520476324 = 372424^2 + 4458982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991139411 + ... + 991159610.

Almost surely, 220021220112100 is an apocalyptic number.

20021220112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021220112100 is an abundant number, since it is smaller than the sum of its proper divisors (23854986440848).

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

20021220112100 is a wasteful number, since it uses less digits than its factorization.

20021220112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982299136 (or 1982299129 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20021220112100 its reverse (121102212002), we get a palindrome (20142322324102).

The spelling of 20021220112100 in words is "twenty trillion, twenty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1982299021 3964598042 7929196084 9911495105 19822990210 39645980420 49557475525 99114951050 198229902100 200212201121 400424402242 800848804484 1001061005605 2002122011210 4004244022420 5005305028025 10010610056050 20021220112100