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12233330213 = 135153182617
BaseRepresentation
bin10110110010010100…
…11100111000100101
31011120120011120020012
423121022130320211
5200023213031323
65341522420005
7612103406516
oct133112347045
934516146205
1012233330213
11520843a065
122454b01605
1311cc5bb840
148409d8a0d
154b8eb0678
hex2d929ce25

12233330213 has 8 divisors (see below), whose sum is σ = 13176984408. Its totient is φ = 11290051584.

The previous prime is 12233330191. The next prime is 12233330227. The reversal of 12233330213 is 31203333221.

12233330213 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 2399236324 + 9834093889 = 48982^2 + 99167^2 .

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 12233330213 - 26 = 12233330149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233338213) 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, 24320 + ... + 158297.

It is an arithmetic number, because the mean of its divisors is an integer number (1647123051).

Almost surely, 212233330213 is an apocalyptic number.

12233330213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12233330213 is a deficient number, since it is larger than the sum of its proper divisors (943654195).

12233330213 is a wasteful number, since it uses less digits than its factorization.

12233330213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187783.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12233330213 its reverse (31203333221), we get a palindrome (43436663434).

The spelling of 12233330213 in words is "twelve billion, two hundred thirty-three million, three hundred thirty thousand, two hundred thirteen".

Divisors: 1 13 5153 66989 182617 2374021 941025401 12233330213