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1313222112 = 25334773443
BaseRepresentation
bin100111001000110…
…0010110111100000
310101112001121002000
41032101202313200
510142141101422
6334150524000
744354126616
oct11621426740
93345047060
101313222112
11614309234
12307966600
1317c0b7307
14c65a36b6
157a452cac
hex4e462de0

1313222112 has 192 divisors, whose sum is σ = 3974261760. Its totient is φ = 421604352.

The previous prime is 1313222111. The next prime is 1313222147. The reversal of 1313222112 is 2112223131.

1313222112 is a `hidden beast` number, since 131 + 322 + 211 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313222111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2964163 + ... + 2964605.

It is an arithmetic number, because the mean of its divisors is an integer number (20699280).

Almost surely, 21313222112 is an apocalyptic number.

1313222112 is a gapful number since it is divisible by the number (12) 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 1313222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987130880).

1313222112 is an abundant number, since it is smaller than the sum of its proper divisors (2661039648).

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

1313222112 is a wasteful number, since it uses less digits than its factorization.

1313222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

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

The square root of 1313222112 is about 36238.4065874867. The cubic root of 1313222112 is about 1095.0805420208.

Adding to 1313222112 its reverse (2112223131), we get a palindrome (3425445243).

The spelling of 1313222112 in words is "one billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred twelve".