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12334313000 = 235312334313
BaseRepresentation
bin10110111110010111…
…01010111000101000
31011211121012000120102
423133023222320220
5200230041004000
65355531044532
7614440634132
oct133713527050
934747160512
1012334313000
11525a441a09
1224828a0748
1312174b7779
148501a4052
154c2cab3d5
hex2df2eae28

12334313000 has 32 divisors (see below), whose sum is σ = 28862294760. Its totient is φ = 4933724800.

The previous prime is 12334312993. The next prime is 12334313003. The reversal of 12334313000 is 31343321.

It can be written as a sum of positive squares in 4 ways, for example, as 8295202084 + 4039110916 = 91078^2 + 63554^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12334313003) 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 7 ways as a sum of consecutive naturals, for example, 6166157 + ... + 6168156.

Almost surely, 212334313000 is an apocalyptic number.

12334313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334313000 is an abundant number, since it is smaller than the sum of its proper divisors (16527981760).

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

12334313000 is a wasteful number, since it uses less digits than its factorization.

12334313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12334334 (or 12334320 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12334313000 its reverse (31343321), we get a palindrome (12365656321).

The spelling of 12334313000 in words is "twelve billion, three hundred thirty-four million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12334313 24668626 49337252 61671565 98674504 123343130 246686260 308357825 493372520 616715650 1233431300 1541789125 2466862600 3083578250 6167156500 12334313000