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12314341332 = 22331937241673
BaseRepresentation
bin10110111011111110…
…11110111111010100
31011210012121100121000
423131333132333110
5200204432410312
65353535023300
7614106113526
oct133577367724
934705540530
1012314341332
11524a1409a7
12247806ab30
131213314207
1484b685a16
154c1163adc
hex2ddfdefd4

12314341332 has 192 divisors, whose sum is σ = 34709382400. Its totient is φ = 3762339840.

The previous prime is 12314341331. The next prime is 12314341367. The reversal of 12314341332 is 23314341321.

It is a happy number.

12314341332 is a `hidden beast` number, since 1 + 2 + 314 + 341 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 12314341296 and 12314341305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314341331) 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, 18297348 + ... + 18298020.

Almost surely, 212314341332 is an apocalyptic number.

12314341332 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 12314341332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354691200).

12314341332 is an abundant number, since it is smaller than the sum of its proper divisors (22395041068).

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

12314341332 is a wasteful number, since it uses less digits than its factorization.

12314341332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 12314341332 its reverse (23314341321), we get a palindrome (35628682653).

The spelling of 12314341332 in words is "twelve billion, three hundred fourteen million, three hundred forty-one thousand, three hundred thirty-two".