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13205223333 = 321467247037
BaseRepresentation
bin11000100110001011…
…11011011110100101
31021002021221211221200
430103011323132211
5204021014121313
610022201433113
7645144355251
oct142305733645
937067854850
1013205223333
115667005815
12268649b799
131325a67623
148d3b0b261
1552448db73
hex31317b7a5

13205223333 has 6 divisors (see below), whose sum is σ = 19074211494. Its totient is φ = 8803482216.

The previous prime is 13205223323. The next prime is 13205223349. The reversal of 13205223333 is 33332250231.

13205223333 is a `hidden beast` number, since 1 + 320 + 5 + 2 + 2 + 3 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9112038849 + 4093184484 = 95457^2 + 63978^2 .

It is not a de Polignac number, because 13205223333 - 25 = 13205223301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13205223297 and 13205223306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205223323) 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 5 ways as a sum of consecutive naturals, for example, 733623510 + ... + 733623527.

It is an arithmetic number, because the mean of its divisors is an integer number (3179035249).

Almost surely, 213205223333 is an apocalyptic number.

It is an amenable number.

13205223333 is a deficient number, since it is larger than the sum of its proper divisors (5868988161).

13205223333 is a wasteful number, since it uses less digits than its factorization.

13205223333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467247043 (or 1467247040 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 13205223333 its reverse (33332250231), we get a palindrome (46537473564).

The spelling of 13205223333 in words is "thirteen billion, two hundred five million, two hundred twenty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 1467247037 4401741111 13205223333