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10022221100 = 2252731678221
BaseRepresentation
bin10010101010101111…
…01111010100101100
3221212110120120202002
421111113233110230
5131011142033400
64334254551432
7503234321333
oct112527572454
927773516662
1010022221100
114283312061
121b38508578
13c3949a858
146b10a8d1a
153d9cebed5
hex2555ef52c

10022221100 has 72 divisors (see below), whose sum is σ = 22180851168. Its totient is φ = 3929817600.

The previous prime is 10022221091. The next prime is 10022221141. The reversal of 10022221100 is 112222001.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 1214990 + ... + 1223210.

Almost surely, 210022221100 is an apocalyptic number.

10022221100 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 10022221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090425584).

10022221100 is an abundant number, since it is smaller than the sum of its proper divisors (12158630068).

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

10022221100 is a wasteful number, since it uses less digits than its factorization.

10022221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475 (or 8468 counting only the distinct ones).

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

Adding to 10022221100 its reverse (112222001), we get a palindrome (10134443101).

Subtracting from 10022221100 its reverse (112222001), we obtain a palindrome (9909999099).

The spelling of 10022221100 in words is "ten billion, twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 167 292 334 365 668 730 835 1460 1670 1825 3340 3650 4175 7300 8221 8350 12191 16442 16700 24382 32884 41105 48764 60955 82210 121910 164420 205525 243820 304775 411050 600133 609550 822100 1200266 1219100 1372907 2400532 2745814 3000665 5491628 6001330 6864535 12002660 13729070 15003325 27458140 30006650 34322675 60013300 68645350 100222211 137290700 200444422 400888844 501111055 1002222110 2004444220 2505555275 5011110550 10022221100