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12233610705 = 35292969767
BaseRepresentation
bin10110110010010111…
…00001010111010001
31011120120200210222210
423121023201113101
5200023301020310
65341532422333
7612105655341
oct133113412721
934516623883
1012233610705
115208610878
1224550179a9
1311cc689404
14840a6cd21
154b9018820
hex2d92e15d1

12233610705 has 24 divisors (see below), whose sum is σ = 20272030272. Its totient is φ = 6299599936.

The previous prime is 12233610643. The next prime is 12233610787. The reversal of 12233610705 is 50701633221.

12233610705 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 12233610705 - 27 = 12233610577 is a prime.

It is a super-2 number, since 2×122336107052 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 472269 + ... + 497498.

It is an arithmetic number, because the mean of its divisors is an integer number (844667928).

Almost surely, 212233610705 is an apocalyptic number.

12233610705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12233610705 is a deficient number, since it is larger than the sum of its proper divisors (8038419567).

12233610705 is an equidigital number, since it uses as much as digits as its factorization.

12233610705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969833 (or 969804 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 12233610705 in words is "twelve billion, two hundred thirty-three million, six hundred ten thousand, seven hundred five".

Divisors: 1 3 5 15 29 87 145 435 841 2523 4205 12615 969767 2909301 4848835 14546505 28123243 84369729 140616215 421848645 815574047 2446722141 4077870235 12233610705