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22101222100 = 2252239609227
BaseRepresentation
bin10100100101010101…
…011110001011010100
32010001021100102002111
4110211111132023110
5330230403101400
614053025520404
71411455200566
oct244525361324
963037312074
1022101222100
119411622311
1243497a3104
132112b02b19
1410d93ad336
158954753ba
hex52555e2d4

22101222100 has 36 divisors (see below), whose sum is σ = 50044859424. Its totient is φ = 8456118880.

The previous prime is 22101222097. The next prime is 22101222107. The reversal of 22101222100 is 122210122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101222107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4802314 + ... + 4806913.

It is an arithmetic number, because the mean of its divisors is an integer number (1390134984).

Almost surely, 222101222100 is an apocalyptic number.

22101222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101222100 is an abundant number, since it is smaller than the sum of its proper divisors (27943637324).

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

22101222100 is a wasteful number, since it uses less digits than its factorization.

22101222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609264 (or 9609257 counting only the distinct ones).

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

Adding to 22101222100 its reverse (122210122), we get a palindrome (22223432222).

The spelling of 22101222100 in words is "twenty-two billion, one hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 9609227 19218454 38436908 48046135 96092270 192184540 221012221 240230675 442024442 480461350 884048884 960922700 1105061105 2210122210 4420244420 5525305525 11050611050 22101222100