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12345011289 = 3213105512917
BaseRepresentation
bin10110111111101000…
…11110110001011001
31011212100022112212100
423133310132301121
5200240310330124
65400552234013
7614630602362
oct133764366131
934770275770
1012345011289
115265489776
12248639b909
131219792110
1485178ab69
154c3bc11c9
hex2dfd1ec59

12345011289 has 12 divisors (see below), whose sum is σ = 19203351076. Its totient is φ = 7596929952.

The previous prime is 12345011281. The next prime is 12345011299. The reversal of 12345011289 is 98211054321.

12345011289 is a `hidden beast` number, since 1 + 23 + 4 + 501 + 128 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6476225625 + 5868785664 = 80475^2 + 76608^2 .

It is not a de Polignac number, because 12345011289 - 23 = 12345011281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12345011281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52756342 + ... + 52756575.

Almost surely, 212345011289 is an apocalyptic number.

It is an amenable number.

12345011289 is a deficient number, since it is larger than the sum of its proper divisors (6858339787).

12345011289 is a wasteful number, since it uses less digits than its factorization.

12345011289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105512936 (or 105512933 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12345011289 in words is "twelve billion, three hundred forty-five million, eleven thousand, two hundred eighty-nine".

Divisors: 1 3 9 13 39 117 105512917 316538751 949616253 1371667921 4115003763 12345011289