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10221122200 = 2352194216389
BaseRepresentation
bin10011000010011100…
…11111001010011000
3222101022211210202111
421201032133022120
5131413101402300
64410122042104
7511201051042
oct114116371230
928338753674
1010221122200
114375614433
121b93049334
13c6b75b903
146cd682a92
153ec4da9ba
hex26139f298

10221122200 has 96 divisors (see below), whose sum is σ = 25078194000. Its totient is φ = 3863462400.

The previous prime is 10221122161. The next prime is 10221122203. The reversal of 10221122200 is 222112201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221122203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1596606 + ... + 1602994.

Almost surely, 210221122200 is an apocalyptic number.

10221122200 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 10221122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539097000).

10221122200 is an abundant number, since it is smaller than the sum of its proper divisors (14857071800).

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

10221122200 is a wasteful number, since it uses less digits than its factorization.

10221122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10221122200 its reverse (222112201), we get a palindrome (10443234401).

Subtracting from 10221122200 its reverse (222112201), we obtain a palindrome (9999009999).

The spelling of 10221122200 in words is "ten billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 421 475 760 842 950 1684 1900 2105 3368 3800 4210 6389 7999 8420 10525 12778 15998 16840 21050 25556 31945 31996 39995 42100 51112 63890 63992 79990 84200 121391 127780 159725 159980 199975 242782 255560 319450 319960 399950 485564 606955 638900 799900 971128 1213910 1277800 1599800 2427820 2689769 3034775 4855640 5379538 6069550 10759076 12139100 13448845 21518152 24278200 26897690 51105611 53795380 67244225 102211222 107590760 134488450 204422444 255528055 268976900 408844888 511056110 537953800 1022112220 1277640275 2044224440 2555280550 5110561100 10221122200