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220112220100 = 22522201122201
BaseRepresentation
bin1100110011111110110…
…1011110111111000100
3210001010222222022210011
43030333231132333010
512101242212020400
6245041304440004
721621405000133
oct3147755367704
9701128868704
10220112220100
1185392678903
12367ab179004
13179ab028826
14a92125991a
155ad3eaa8ba
hex333fb5efc4

220112220100 has 18 divisors (see below), whose sum is σ = 477643517834. Its totient is φ = 88044888000.

The previous prime is 220112220079. The next prime is 220112220103. The reversal of 220112220100 is 1022211022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 77784094404 + 142328125696 = 278898^2 + 377264^2 .

It is not an unprimeable number, because it can be changed into a prime (220112220103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1100561001 + ... + 1100561200.

Almost surely, 2220112220100 is an apocalyptic number.

220112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220112220100 is an abundant number, since it is smaller than the sum of its proper divisors (257531297734).

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

220112220100 is a wasteful number, since it uses less digits than its factorization.

220112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201122215 (or 2201122208 counting only the distinct ones).

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

Adding to 220112220100 its reverse (1022211022), we get a palindrome (221134431122).

It can be divided in two parts, 2201122 and 20100, that added together give a palindrome (2221222).

The spelling of 220112220100 in words is "two hundred twenty billion, one hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2201122201 4402244402 8804488804 11005611005 22011222010 44022444020 55028055025 110056110050 220112220100