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11221000100 = 2252119394057
BaseRepresentation
bin10100111001101001…
…01101111110100100
31001222000021212101022
422130310231332210
5140440034000400
65053240550312
7545031633002
oct123464557644
931860255338
1011221000100
114838a64502
122211a82398
13109a95533b
1478639ba72
1545a195b85
hex29cd2dfa4

11221000100 has 36 divisors (see below), whose sum is σ = 24370239684. Its totient is φ = 4484590080.

The previous prime is 11221000079. The next prime is 11221000139. The reversal of 11221000100 is 100012211.

It can be written as a sum of positive squares in 6 ways, for example, as 2302464256 + 8918535844 = 47984^2 + 94438^2 .

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, 72272 + ... + 166328.

Almost surely, 211221000100 is an apocalyptic number.

11221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221000100 is an abundant number, since it is smaller than the sum of its proper divisors (13149239584).

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

11221000100 is a wasteful number, since it uses less digits than its factorization.

11221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95264 (or 95257 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11221000100 its reverse (100012211), we get a palindrome (11321012311).

The spelling of 11221000100 in words is "eleven billion, two hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 1193 2386 4772 5965 11930 23860 29825 59650 94057 119300 188114 376228 470285 940570 1881140 2351425 4702850 9405700 112210001 224420002 448840004 561050005 1122100010 2244200020 2805250025 5610500050 11221000100