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12210219905 = 5132276411291
BaseRepresentation
bin10110101111100100…
…10010101110000001
31011111221200102211212
423113302102232001
5200001304014110
65335335215505
7611403104522
oct132762225601
934457612755
1012210219905
1151a6394a34
122449217595
1311c78897c0
1483b900849
154b6e47e05
hex2d7c92b81

12210219905 has 32 divisors (see below), whose sum is σ = 15885894528. Its totient is φ = 8956108800.

The previous prime is 12210219899. The next prime is 12210219913. The reversal of 12210219905 is 50991201221.

12210219905 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 12210219905 - 214 = 12210203521 is a prime.

It is a Duffinian number.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 9457310 + ... + 9458600.

It is an arithmetic number, because the mean of its divisors is an integer number (496434204).

Almost surely, 212210219905 is an apocalyptic number.

It is an amenable number.

12210219905 is a deficient number, since it is larger than the sum of its proper divisors (3675674623).

12210219905 is a wasteful number, since it uses less digits than its factorization.

12210219905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177.

The product of its (nonzero) digits is 3240, while the sum is 32.

The spelling of 12210219905 in words is "twelve billion, two hundred ten million, two hundred nineteen thousand, nine hundred five".

Divisors: 1 5 13 65 227 641 1135 1291 2951 3205 6455 8333 14755 16783 41665 83915 145507 293057 727535 827531 1465285 1891591 3809741 4137655 9457955 10757903 19048705 53789515 187849537 939247685 2442043981 12210219905