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22221120100 = 2252222211201
BaseRepresentation
bin10100101100011110…
…110110001001100100
32010100121221212020011
4110230132312021210
5331002101320400
614112551420004
71414442255464
oct245436661144
963317855204
1022221120100
119473274473
124381984604
1321318c249a
14110b29dba4
158a0c5a8ba
hex52c7b6264

22221120100 has 18 divisors (see below), whose sum is σ = 48219830834. Its totient is φ = 8888448000.

The previous prime is 22221120091. The next prime is 22221120107. The reversal of 22221120100 is 102112222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1376113216 + 20845006884 = 37096^2 + 144378^2 .

It is not an unprimeable number, because it can be changed into a prime (22221120107) 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 5 ways as a sum of consecutive naturals, for example, 111105501 + ... + 111105700.

Almost surely, 222221120100 is an apocalyptic number.

22221120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221120100 is an abundant number, since it is smaller than the sum of its proper divisors (25998710734).

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

22221120100 is a wasteful number, since it uses less digits than its factorization.

22221120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222211215 (or 222211208 counting only the distinct ones).

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

Adding to 22221120100 its reverse (102112222), we get a palindrome (22323232322).

The spelling of 22221120100 in words is "twenty-two billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222211201 444422402 888844804 1111056005 2222112010 4444224020 5555280025 11110560050 22221120100