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12282133361 = 175771252129
BaseRepresentation
bin10110111000001001…
…00111101101110001
31011200222000000120012
423130010213231301
5200123211231421
65350424424305
7613235260661
oct133404475561
934628000505
1012282133361
115232a42643
122469318095
131209748244
148472a01a1
154bd40095b
hex2dc127b71

12282133361 has 8 divisors (see below), whose sum is σ = 13027160520. Its totient is φ = 11539611648.

The previous prime is 12282133219. The next prime is 12282133373. The reversal of 12282133361 is 16333128221.

It can be written as a sum of positive squares in 4 ways, for example, as 4011322225 + 8270811136 = 63335^2 + 90944^2 .

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 12282133361 - 222 = 12277939057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12282130361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616256 + ... + 635873.

It is an arithmetic number, because the mean of its divisors is an integer number (1628395065).

Almost surely, 212282133361 is an apocalyptic number.

It is an amenable number.

12282133361 is a deficient number, since it is larger than the sum of its proper divisors (745027159).

12282133361 is a wasteful number, since it uses less digits than its factorization.

12282133361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252723.

The product of its digits is 10368, while the sum is 32.

The spelling of 12282133361 in words is "twelve billion, two hundred eighty-two million, one hundred thirty-three thousand, three hundred sixty-one".

Divisors: 1 17 577 9809 1252129 21286193 722478433 12282133361