Search a number
-
+
111313331220 = 2235713193134613
BaseRepresentation
bin110011110101011001…
…0101010010000010100
3101122022121200010010010
41213222302222100110
53310432203044340
6123045303000220
711020306463310
oct1475262522024
9348277603103
10111313331220
1143231523313
12196a6739070
13a65c621a80
14555d7b4b40
152d6756cb80
hex19eacaa414

111313331220 has 384 divisors, whose sum is σ = 416830095360. Its totient is φ = 21531432960.

The previous prime is 111313331209. The next prime is 111313331231. The reversal of 111313331220 is 22133313111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111313331209) and next prime (111313331231).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3198634 + ... + 3233246.

It is an arithmetic number, because the mean of its divisors is an integer number (1085495040).

Almost surely, 2111313331220 is an apocalyptic number.

111313331220 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 111313331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208415047680).

111313331220 is an abundant number, since it is smaller than the sum of its proper divisors (305516764140).

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

111313331220 is a wasteful number, since it uses less digits than its factorization.

111313331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34695 (or 34693 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 111313331220 its reverse (22133313111), we get a palindrome (133446644331).

The spelling of 111313331220 in words is "one hundred eleven billion, three hundred thirteen million, three hundred thirty-one thousand, two hundred twenty".