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12221753306 = 27191273311093
BaseRepresentation
bin10110110000111100…
…10010011111011010
31011112202101101200212
423120132102133122
5200012232101211
65340430331122
7611603121560
oct133036223732
934482341625
1012221753306
115201952174
122451059aa2
1311ca0972b9
1483d263a30
154b7e7538b
hex2d87927da

12221753306 has 64 divisors (see below), whose sum is σ = 22315499520. Its totient is φ = 4903778880.

The previous prime is 12221753239. The next prime is 12221753333. The reversal of 12221753306 is 60335712221.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11181296 + ... + 11182388.

It is an arithmetic number, because the mean of its divisors is an integer number (348679680).

Almost surely, 212221753306 is an apocalyptic number.

12221753306 is a deficient number, since it is larger than the sum of its proper divisors (10093746214).

12221753306 is a wasteful number, since it uses less digits than its factorization.

12221753306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579.

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 12221753306 in words is "twelve billion, two hundred twenty-one million, seven hundred fifty-three thousand, three hundred six".

Divisors: 1 2 7 14 19 38 127 133 254 266 331 662 889 1093 1778 2186 2317 2413 4634 4826 6289 7651 12578 15302 16891 20767 33782 41534 42037 44023 84074 88046 138811 145369 277622 290738 294259 361783 588518 723566 798703 971677 1597406 1943354 2532481 2637409 5064962 5274818 5590921 6873877 11181842 13747754 18461863 36923726 45946441 48117139 91892882 96234278 321625087 643250174 872982379 1745964758 6110876653 12221753306