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12252205335 = 351316235219
BaseRepresentation
bin10110110100100100…
…11101000100010111
31011121212200112000210
423122102131010113
5200043031032320
65343435140503
7612423012156
oct133222350427
934555615023
1012252205335
115218061237
12245b2a4733
131203499c56
1484330d59d
154ba98d0e0
hex2da49d117

12252205335 has 16 divisors (see below), whose sum is σ = 19753176960. Its totient is φ = 6484626720.

The previous prime is 12252205327. The next prime is 12252205349. The reversal of 12252205335 is 53350225221.

12252205335 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 12252205335 - 23 = 12252205327 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3115645 + ... + 3119574.

It is an arithmetic number, because the mean of its divisors is an integer number (1234573560).

Almost surely, 212252205335 is an apocalyptic number.

12252205335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12252205335 is a deficient number, since it is larger than the sum of its proper divisors (7500971625).

12252205335 is a wasteful number, since it uses less digits than its factorization.

12252205335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235358.

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 12252205335 in words is "twelve billion, two hundred fifty-two million, two hundred five thousand, three hundred thirty-five".

Divisors: 1 3 5 15 131 393 655 1965 6235219 18705657 31176095 93528285 816813689 2450441067 4084068445 12252205335