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12220210100 = 2252727076449
BaseRepresentation
bin10110110000110000…
…11001101110110100
31011112122110222211002
423120120121232310
5200011333210400
65340333302432
7611554033460
oct133030315664
934478428732
1012220210100
115200a9879a
122450634a18
1311c9976a67
1483cd814a0
154b7c6ced5
hex2d8619bb4

12220210100 has 72 divisors (see below), whose sum is σ = 30322017600. Its totient is φ = 4187589120.

The previous prime is 12220210091. The next prime is 12220210133. The reversal of 12220210100 is 101202221.

It is a happy number.

12220210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1891676 + ... + 1898124.

Almost surely, 212220210100 is an apocalyptic number.

12220210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220210100 is an abundant number, since it is smaller than the sum of its proper divisors (18101807500).

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

12220210100 is a wasteful number, since it uses less digits than its factorization.

12220210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9170 counting only the distinct ones).

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

Adding to 12220210100 its reverse (101202221), we get a palindrome (12321412321).

The spelling of 12220210100 in words is "twelve billion, two hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2707 5414 6449 10828 12898 13535 18949 25796 27070 32245 37898 45143 54140 64490 67675 75796 90286 94745 128980 135350 161225 180572 189490 225715 270700 322450 378980 451430 473725 644900 902860 947450 1128575 1894900 2257150 4514300 17457443 34914886 69829772 87287215 122202101 174574430 244404202 349148860 436436075 488808404 611010505 872872150 1222021010 1745744300 2444042020 3055052525 6110105050 12220210100