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12220200100 = 22521743349479
BaseRepresentation
bin10110110000110000…
…10111010010100100
31011112122110111002201
423120120113102210
5200011332400400
65340333144244
7611553662353
oct133030272244
934478414081
1012220200100
115200a91229
12245062b084
1311c9972344
1483cd7b99a
154b7c6a06a
hex2d86174a4

12220200100 has 144 divisors (see below), whose sum is σ = 28873152000. Its totient is φ = 4471326720.

The previous prime is 12220200071. The next prime is 12220200103. The reversal of 12220200100 is 100202221.

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

It is not an unprimeable number, because it can be changed into a prime (12220200103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25511661 + ... + 25512139.

It is an arithmetic number, because the mean of its divisors is an integer number (200508000).

Almost surely, 212220200100 is an apocalyptic number.

12220200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576000).

12220200100 is an abundant number, since it is smaller than the sum of its proper divisors (16652951900).

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

12220200100 is a wasteful number, since it uses less digits than its factorization.

12220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 895 counting only the distinct ones).

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

Adding to 12220200100 its reverse (100202221), we get a palindrome (12320402321).

The spelling of 12220200100 in words is "twelve billion, two hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 349 425 430 479 698 731 850 860 958 1075 1396 1462 1700 1745 1916 2150 2395 2924 3490 3655 4300 4790 5933 6980 7310 8143 8725 9580 11866 11975 14620 15007 16286 17450 18275 20597 23732 23950 29665 30014 32572 34900 36550 40715 41194 47900 59330 60028 73100 75035 81430 82388 102985 118660 148325 150070 162860 167171 203575 205970 255119 296650 300140 334342 350149 375175 407150 411940 510238 514925 593300 668684 700298 750350 814300 835855 1020476 1029850 1275595 1400596 1500700 1671710 1750745 2059700 2551190 2841907 3343420 3501490 4179275 5102380 5683814 6377975 7002980 7188353 8358550 8753725 11367628 12755950 14209535 14376706 16717100 17507450 25511900 28419070 28753412 35014900 35941765 56838140 71047675 71883530 122202001 142095350 143767060 179708825 244404002 284190700 359417650 488808004 611010005 718835300 1222020010 2444040020 3055050025 6110100050 12220200100