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11221310100 = 223527112134379
BaseRepresentation
bin10100111001101011…
…11001101010010100
31001222000212121121210
422130311321222110
5140440123410400
65053251341420
7545034363540
oct123465715224
931860777553
1011221310100
114839156400
122211bb1870
13109aa33480
1478643ca20
1545a207950
hex29cd79a94

11221310100 has 864 divisors, whose sum is σ = 45512642560. Its totient is φ = 2075673600.

The previous prime is 11221310063. The next prime is 11221310129. The reversal of 11221310100 is 101312211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142041861 + ... + 142041939.

Almost surely, 211221310100 is an apocalyptic number.

11221310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756321280).

11221310100 is an abundant number, since it is smaller than the sum of its proper divisors (34291332460).

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

11221310100 is a wasteful number, since it uses less digits than its factorization.

11221310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11221310100 its reverse (101312211), we get a palindrome (11322622311).

The spelling of 11221310100 in words is "eleven billion, two hundred twenty-one million, three hundred ten thousand, one hundred".