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11222112200 = 2352134316197
BaseRepresentation
bin10100111001110001…
…11101011111001000
31001222002101100220012
422130320331133020
5140440330042300
65053320451052
7545044244165
oct123470753710
931862340805
1011222112200
114839653aa2
122212319a88
13109ac545a0
147865ab06c
1545a315435
hex29ce3d7c8

11222112200 has 48 divisors (see below), whose sum is σ = 28098448980. Its totient is φ = 4143548160.

The previous prime is 11222112191. The next prime is 11222112211. The reversal of 11222112200 is 221122211.

It can be written as a sum of positive squares in 6 ways, for example, as 2486219044 + 8735893156 = 49862^2 + 93466^2 .

It is a zygodrome in base 10.

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 11 ways as a sum of consecutive naturals, for example, 2155499 + ... + 2160698.

Almost surely, 211222112200 is an apocalyptic number.

11222112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222112200 is an abundant number, since it is smaller than the sum of its proper divisors (16876336780).

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

11222112200 is a wasteful number, since it uses less digits than its factorization.

11222112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316226 (or 4316217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11222112200 its reverse (221122211), we get a palindrome (11443234411).

It can be divided in two parts, 112221 and 12200, that added together give a palindrome (124421).

The spelling of 11222112200 in words is "eleven billion, two hundred twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4316197 8632394 17264788 21580985 34529576 43161970 56110561 86323940 107904925 112221122 172647880 215809850 224442244 280552805 431619700 448884488 561105610 863239400 1122211220 1402764025 2244422440 2805528050 5611056100 11222112200