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11220221100 = 223521122389151
BaseRepresentation
bin10100111001100011…
…01111110010101100
31001221221211021210110
422130301233302230
5140434334033400
65053212140020
7545022206604
oct123461576254
931857737713
1011220221100
114838582200
122211767610
13109a7418aa
14786237c04
1545a08ee50
hex29cc6fcac

11220221100 has 432 divisors, whose sum is σ = 37902574080. Its totient is φ = 2555520000.

The previous prime is 11220221081. The next prime is 11220221113. The reversal of 11220221100 is 112202211.

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

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 143 ways as a sum of consecutive naturals, for example, 74306025 + ... + 74306175.

It is an arithmetic number, because the mean of its divisors is an integer number (87737440).

Almost surely, 211220221100 is an apocalyptic number.

11220221100 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 11220221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951287040).

11220221100 is an abundant number, since it is smaller than the sum of its proper divisors (26682352980).

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

11220221100 is a wasteful number, since it uses less digits than its factorization.

11220221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11220221100 its reverse (112202211), we get a palindrome (11332423311).

11220221100 divided by its reverse (112202211) gives a square (100 = 102).

The spelling of 11220221100 in words is "eleven billion, two hundred twenty million, two hundred twenty-one thousand, one hundred".