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12333312133 = 17733989753
BaseRepresentation
bin10110111110001111…
…10110100010000101
31011211112022011122021
423133013312202011
5200224311442013
65355453403141
7614426265142
oct133707664205
934745264567
1012333312133
115259918a4a
1224824994b1
13121722703c
1484ddc33c9
154c2b5ea8d
hex2df1f6885

12333312133 has 8 divisors (see below), whose sum is σ = 13076629848. Its totient is φ = 11591975424.

The previous prime is 12333312109. The next prime is 12333312169. The reversal of 12333312133 is 33121333321.

It can be written as a sum of positive squares in 4 ways, for example, as 5255960004 + 7077352129 = 72498^2 + 84127^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12333312133 - 233 = 3743377541 is a prime.

It is a super-2 number, since 2×123333121332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12333312098 and 12333312107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333313133) 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, 482416 + ... + 507337.

It is an arithmetic number, because the mean of its divisors is an integer number (1634578731).

Almost surely, 212333312133 is an apocalyptic number.

It is an amenable number.

12333312133 is a deficient number, since it is larger than the sum of its proper divisors (743317715).

12333312133 is an equidigital number, since it uses as much as digits as its factorization.

12333312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990503.

The product of its digits is 2916, while the sum is 25.

Adding to 12333312133 its reverse (33121333321), we get a palindrome (45454645454).

The spelling of 12333312133 in words is "twelve billion, three hundred thirty-three million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 17 733 12461 989753 16825801 725488949 12333312133