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21222120100122 = 2322774256341777
BaseRepresentation
bin1001101001101001010001…
…11011100001000100011010
32210010211000001001010111200
410310310220323201010122
510240200400221200442
6113045150221135030
74320150630332514
oct464645073410432
983124001033450
1021222120100122
11684228359a807
122468ba50ba476
13bac311581086
1453522846abb4
1526c0819c534c
hex134d28ee111a

21222120100122 has 24 divisors (see below), whose sum is σ = 46147257557076. Its totient is φ = 7048501981056.

The previous prime is 21222120100109. The next prime is 21222120100123. The reversal of 21222120100122 is 22100102122212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21133227273921 + 88892826201 = 4597089^2 + 298149^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21222120100095 and 21222120100104.

It is not an unprimeable number, because it can be changed into a prime (21222120100123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2128165903 + ... + 2128175874.

Almost surely, 221222120100122 is an apocalyptic number.

21222120100122 is an abundant number, since it is smaller than the sum of its proper divisors (24925137456954).

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

21222120100122 is a wasteful number, since it uses less digits than its factorization.

21222120100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256342062 (or 4256342059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222120100122 its reverse (22100102122212), we get a palindrome (43322222222334).

The spelling of 21222120100122 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 277 554 831 1662 2493 4986 4256341777 8512683554 12769025331 25538050662 38307075993 76614151986 1179006672229 2358013344458 3537020016687 7074040033374 10611060050061 21222120100122