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221112101200 = 2452552780253
BaseRepresentation
bin1100110111101101001…
…1101110100101010000
3210010201200102112210111
43031323103232211100
512110314144214300
6245324423411104
721655235564314
oct3157323564520
9703650375714
10221112101200
1185856020321
1236a29bb3a94
1317b0a223853
14a9b7d75b44
155b41b669ba
hex337b4ee950

221112101200 has 30 divisors (see below), whose sum is σ = 531221824094. Its totient is φ = 88444840320.

The previous prime is 221112101167. The next prime is 221112101207. The reversal of 221112101200 is 2101211122.

It can be written as a sum of positive squares in 3 ways, for example, as 69177416256 + 151934684944 = 263016^2 + 389788^2 .

It is a super-2 number, since 2×2211121012002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112101207) 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, 276389727 + ... + 276390526.

Almost surely, 2221112101200 is an apocalyptic number.

221112101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112101200 is an abundant number, since it is smaller than the sum of its proper divisors (310109722894).

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

221112101200 is a wasteful number, since it uses less digits than its factorization.

221112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552780271 (or 552780260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221112101200 its reverse (2101211122), we get a palindrome (223213312322).

The spelling of 221112101200 in words is "two hundred twenty-one billion, one hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 552780253 1105560506 2211121012 2763901265 4422242024 5527802530 8844484048 11055605060 13819506325 22111210120 27639012650 44222420240 55278025300 110556050600 221112101200