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12323032033 = 132413933301
BaseRepresentation
bin10110111101000001…
…01000101111100001
31011210210221212222211
423132200220233201
5200214144011113
65354445202121
7614243021044
oct133640505741
934723855884
1012323032033
1152540373a4
12247ab60341
131215067b40
1484c8a8c5b
154c1ccdb3d
hex2de828be1

12323032033 has 8 divisors (see below), whose sum is σ = 13326027176. Its totient is φ = 11327904000.

The previous prime is 12323032021. The next prime is 12323032039. The reversal of 12323032033 is 33023032321.

12323032033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1997017344 + 10326014689 = 44688^2 + 101617^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12323032033 is a prime.

It is a super-2 number, since 2×123230320332 (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 = 12323031995 and 12323032013.

It is not an unprimeable number, because it can be changed into a prime (12323032039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963518 + ... + 1969783.

It is an arithmetic number, because the mean of its divisors is an integer number (1665753397).

Almost surely, 212323032033 is an apocalyptic number.

12323032033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12323032033 is a deficient number, since it is larger than the sum of its proper divisors (1002995143).

12323032033 is a wasteful number, since it uses less digits than its factorization.

12323032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933555.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 12323032033 its reverse (33023032321), we get a palindrome (45346064354).

The spelling of 12323032033 in words is "twelve billion, three hundred twenty-three million, thirty-two thousand, thirty-three".

Divisors: 1 13 241 3133 3933301 51132913 947925541 12323032033