Search a number
-
+
11112332220 = 223351110331811
BaseRepresentation
bin10100101100101100…
…01011101110111100
31001200102210222002000
422112112023232330
5140224224112340
65034355502300
7542242160013
oct122626135674
931612728060
1011112332220
114792692740
1221a15b7990
131081298412
14775b91a7a
1545087cd30
hex29658bbbc

11112332220 has 192 divisors, whose sum is σ = 37771937280. Its totient is φ = 2689804800.

The previous prime is 11112332219. The next prime is 11112332227. The reversal of 11112332220 is 2223321111.

11112332220 is a `hidden beast` number, since 1 + 1 + 112 + 332 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11112332193 and 11112332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112332227) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6135115 + ... + 6136925.

It is an arithmetic number, because the mean of its divisors is an integer number (196728840).

Almost surely, 211112332220 is an apocalyptic number.

11112332220 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 11112332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18885968640).

11112332220 is an abundant number, since it is smaller than the sum of its proper divisors (26659605060).

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

11112332220 is a wasteful number, since it uses less digits than its factorization.

11112332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11112332220 its reverse (2223321111), we get a palindrome (13335653331).

The spelling of 11112332220 in words is "eleven billion, one hundred twelve million, three hundred thirty-two thousand, two hundred twenty".