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12220012100 = 22521131081417
BaseRepresentation
bin10110110000101111…
…01001011001000100
31011112122002221012202
423120113221121010
5200011310341400
65340325134032
7611552250302
oct133027513104
934478087182
1012220012100
115200972a5a
12245055a318
1311c99078ba
1483cd2d272
154b7c2e4d5
hex2d85e9644

12220012100 has 36 divisors (see below), whose sum is σ = 26752118484. Its totient is φ = 4844743680.

The previous prime is 12220012093. The next prime is 12220012177. The reversal of 12220012100 is 121002221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1573074244 + 10646937856 = 39662^2 + 103184^2 .

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, 529409 + ... + 552008.

Almost surely, 212220012100 is an apocalyptic number.

12220012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220012100 is an abundant number, since it is smaller than the sum of its proper divisors (14532106384).

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

12220012100 is a wasteful number, since it uses less digits than its factorization.

12220012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081544 (or 1081537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12220012100 its reverse (121002221), we get a palindrome (12341014321).

The spelling of 12220012100 in words is "twelve billion, two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 1081417 2162834 4325668 5407085 10814170 21628340 27035425 54070850 108141700 122200121 244400242 488800484 611000605 1222001210 2444002420 3055003025 6110006050 12220012100