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12332010033 = 327434552237
BaseRepresentation
bin10110111110000101…
…11000101000110001
31011211102212000111100
423133002320220301
5200223443310113
65355405435013
7614412233010
oct133702705061
934742760440
1012332010033
115259109732
122481b6ba69
131216b8c475
1484db64a77
154c29a3d73
hex2df0b8a31

12332010033 has 24 divisors (see below), whose sum is σ = 20831041088. Its totient is φ = 6882980832.

The previous prime is 12332010029. The next prime is 12332010101. The reversal of 12332010033 is 33001023321.

12332010033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12332010033 - 22 = 12332010029 is a prime.

It is a super-2 number, since 2×123320100332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12332009988 and 12332010015.

It is not an unprimeable number, because it can be changed into a prime (12332010233) 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 23 ways as a sum of consecutive naturals, for example, 2273410 + ... + 2278827.

Almost surely, 212332010033 is an apocalyptic number.

It is an amenable number.

12332010033 is a deficient number, since it is larger than the sum of its proper divisors (8499031055).

12332010033 is a wasteful number, since it uses less digits than its factorization.

12332010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552293 (or 4552290 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12332010033 its reverse (33001023321), we get a palindrome (45333033354).

The spelling of 12332010033 in words is "twelve billion, three hundred thirty-two million, ten thousand, thirty-three".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 4552237 13656711 31865659 40970133 95596977 195746191 286790931 587238573 1370223337 1761715719 4110670011 12332010033