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12220002100 = 2252122200021
BaseRepresentation
bin10110110000101111…
…00110111100110100
31011112122002102111101
423120113212330310
5200011310031400
65340325015444
7611552206165
oct133027467464
934478072441
1012220002100
115200966499
122450554584
1311c9903197
1483cd2976c
154b7c2b56a
hex2d85e6f34

12220002100 has 18 divisors (see below), whose sum is σ = 26517404774. Its totient is φ = 4888000800.

The previous prime is 12220002031. The next prime is 12220002149. The reversal of 12220002100 is 120002221.

It can be written as a sum of positive squares in 3 ways, for example, as 1964794276 + 10255207824 = 44326^2 + 101268^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61099911 + ... + 61100110.

Almost surely, 212220002100 is an apocalyptic number.

12220002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220002100 is an abundant number, since it is smaller than the sum of its proper divisors (14297402674).

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

12220002100 is a wasteful number, since it uses less digits than its factorization.

12220002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122200035 (or 122200028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220002100 its reverse (120002221), we get a palindrome (12340004321).

The spelling of 12220002100 in words is "twelve billion, two hundred twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122200021 244400042 488800084 611000105 1222000210 2444000420 3055000525 6110001050 12220002100