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12323351040 = 2935721113229
BaseRepresentation
bin10110111101000011…
…10110101000000000
31011210211120002120220
423132201312220000
5200214234213130
65354500103040
7614245520100
oct133641665000
934724502526
1012323351040
115254235040
12247b094a80
13121514a0c0
1484c94d200
154c1d43410
hex2de876a00

12323351040 has 960 divisors, whose sum is σ = 54075288960. Its totient is φ = 2353397760.

The previous prime is 12323351011. The next prime is 12323351059. The reversal of 12323351040 is 4015332321.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12323351040.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53813646 + ... + 53813874.

It is an arithmetic number, because the mean of its divisors is an integer number (56328426).

Almost surely, 212323351040 is an apocalyptic number.

12323351040 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 12323351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27037644480).

12323351040 is an abundant number, since it is smaller than the sum of its proper divisors (41751937920).

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

12323351040 is a wasteful number, since it uses less digits than its factorization.

12323351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 12323351040 its reverse (4015332321), we get a palindrome (16338683361).

It can be divided in two parts, 12323 and 351040, that added together give a palindrome (363363).

The spelling of 12323351040 in words is "twelve billion, three hundred twenty-three million, three hundred fifty-one thousand, forty".