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12314303232 = 283711533929
BaseRepresentation
bin10110111011111110…
…10101101100000000
31011210012112102022220
423131333111230000
5200204430200412
65353534131040
7614105564460
oct133577255400
934705472286
1012314303232
11524a115310
122478050a80
1312132cca7a
1484b675ba0
154c115768c
hex2ddfd5b00

12314303232 has 288 divisors, whose sum is σ = 41642657280. Its totient is φ = 3137372160.

The previous prime is 12314303213. The next prime is 12314303233. The reversal of 12314303232 is 23230341321.

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

It is not an unprimeable number, because it can be changed into a prime (12314303233) 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 31 ways as a sum of consecutive naturals, for example, 3132244 + ... + 3136172.

It is an arithmetic number, because the mean of its divisors is an integer number (144592560).

Almost surely, 212314303232 is an apocalyptic number.

12314303232 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 12314303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821328640).

12314303232 is an abundant number, since it is smaller than the sum of its proper divisors (29328354048).

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

12314303232 is a wasteful number, since it uses less digits than its factorization.

12314303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12314303232 its reverse (23230341321), we get a palindrome (35544644553).

The spelling of 12314303232 in words is "twelve billion, three hundred fourteen million, three hundred three thousand, two hundred thirty-two".