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1100132220 = 22351117711381
BaseRepresentation
bin100000110010010…
…1010111101111100
32211200002111200210
41001210222331330
54223113212340
6301055352420
736155653365
oct10144527574
92750074623
101100132220
11514aa5690
12268522710
13146bc8c15
14a6174b6c
15668b0180
hex4192af7c

1100132220 has 192 divisors, whose sum is σ = 3610801152. Its totient is φ = 247296000.

The previous prime is 1100132207. The next prime is 1100132227. The reversal of 1100132220 is 222310011.

1100132220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100132196 and 1100132205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100132227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795930 + ... + 797310.

It is an arithmetic number, because the mean of its divisors is an integer number (18806256).

Almost surely, 21100132220 is an apocalyptic number.

1100132220 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 1100132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805400576).

1100132220 is an abundant number, since it is smaller than the sum of its proper divisors (2510668932).

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

1100132220 is a wasteful number, since it uses less digits than its factorization.

1100132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1100132220 is about 33168.2411351582. The cubic root of 1100132220 is about 1032.3214738226.

Adding to 1100132220 its reverse (222310011), we get a palindrome (1322442231).

The spelling of 1100132220 in words is "one billion, one hundred million, one hundred thirty-two thousand, two hundred twenty".