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20002221222100 = 22521315386324017
BaseRepresentation
bin1001000110001001000010…
…10010100110100011010100
32121211012020012002021112221
410203010201102212203110
510110204022113101400
6110312521002352124
74133053455060025
oct443044122464324
977735205067487
1020002221222100
116411992472087
1222b06934bb644
13b21280535b40
144d2181260c4c
1524a484d95c1a
hex1231214a68d4

20002221222100 has 36 divisors (see below), whose sum is σ = 46743652366684. Its totient is φ = 7385435527680.

The previous prime is 20002221222043. The next prime is 20002221222169. The reversal of 20002221222100 is 122212220002.

It can be written as a sum of positive squares in 6 ways, for example, as 195431189776 + 19806790032324 = 442076^2 + 4450482^2 .

It is a super-3 number, since 3×200022212221003 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7693160709 + ... + 7693163308.

Almost surely, 220002221222100 is an apocalyptic number.

20002221222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002221222100 is an abundant number, since it is smaller than the sum of its proper divisors (26741431144584).

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

20002221222100 is a wasteful number, since it uses less digits than its factorization.

20002221222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15386324044 (or 15386324037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20002221222100 its reverse (122212220002), we get a palindrome (20124433442102).

The spelling of 20002221222100 in words is "twenty trillion, two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 15386324017 30772648034 61545296068 76931620085 153863240170 200022212221 307726480340 384658100425 400044424442 769316200850 800088848884 1000111061105 1538632401700 2000222122210 4000444244420 5000555305525 10001110611050 20002221222100