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12295270405107 = 3241434716487143
BaseRepresentation
bin1011001011101011011100…
…1110011001001111110011
31121112102020112102211001100
42302322313032121033303
53102421203210430412
642052211431335443
72406206156026434
oct262726716311763
947472215384040
1012295270405107
113a10438674498
121466aa5221583
136b25926c7c21
1430714692b48b
15164c6528cedc
hexb2eb73993f3

12295270405107 has 48 divisors (see below), whose sum is σ = 19012183077888. Its totient is φ = 7644758002560.

The previous prime is 12295270405087. The next prime is 12295270405111. The reversal of 12295270405107 is 70150407259221.

12295270405107 is a `hidden beast` number, since 1 + 2 + 2 + 95 + 2 + 7 + 0 + 40 + 510 + 7 = 666.

It is not a de Polignac number, because 12295270405107 - 218 = 12295270142963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12295270405157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7497823 + ... + 8989320.

It is an arithmetic number, because the mean of its divisors is an integer number (396087147456).

Almost surely, 212295270405107 is an apocalyptic number.

12295270405107 is a deficient number, since it is larger than the sum of its proper divisors (6716912672781).

12295270405107 is a wasteful number, since it uses less digits than its factorization.

12295270405107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487280 (or 16487277 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 12295270405107 in words is "twelve trillion, two hundred ninety-five billion, two hundred seventy million, four hundred five thousand, one hundred seven".

Divisors: 1 3 9 41 43 47 123 129 141 369 387 423 1763 1927 2021 5289 5781 6063 15867 17343 18189 82861 248583 745749 16487143 49461429 148384287 675972863 708947149 774895721 2027918589 2126841447 2324687163 6083755767 6380524341 6974061489 29066833109 31770724561 33320516003 87200499327 95312173683 99961548009 261601497981 285936521049 299884644027 1366141156123 4098423468369 12295270405107