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11313422232 = 23372291991667
BaseRepresentation
bin10101000100101010…
…10001111110011000
31002012110012101201020
422202111101332120
5141132214002412
65110341522440
7550233334200
oct124225217630
932173171636
1011313422232
11488614a632
122238a13420
1310b3b448a8
14794779400
1546335018c
hex2a2551f98

11313422232 has 192 divisors, whose sum is σ = 34227360000. Its totient is φ = 3103398144.

The previous prime is 11313422201. The next prime is 11313422233. The reversal of 11313422232 is 23222431311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313422233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6785863 + ... + 6787529.

It is an arithmetic number, because the mean of its divisors is an integer number (178267500).

Almost surely, 211313422232 is an apocalyptic number.

11313422232 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 11313422232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113680000).

11313422232 is an abundant number, since it is smaller than the sum of its proper divisors (22913937768).

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

11313422232 is a wasteful number, since it uses less digits than its factorization.

11313422232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1907 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 11313422232 its reverse (23222431311), we get a palindrome (34535853543).

The spelling of 11313422232 in words is "eleven billion, three hundred thirteen million, four hundred twenty-two thousand, two hundred thirty-two".