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12263270217 = 3118910141341
BaseRepresentation
bin10110110101111001…
…01010011101001001
31011122122111200012020
423122330222131021
5200103344121332
65344512235053
7612616035252
oct133274523511
934578450166
1012263270217
115223329470
122462b3ba89
131205872413
1484498db29
154bb92682c
hex2daf2a749

12263270217 has 32 divisors (see below), whose sum is σ = 18216938880. Its totient is φ = 7275840000.

The previous prime is 12263270209. The next prime is 12263270231. The reversal of 12263270217 is 71207236221.

It is not a de Polignac number, because 12263270217 - 23 = 12263270209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12263270267) by changing a digit.

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, 275967 + ... + 317307.

It is an arithmetic number, because the mean of its divisors is an integer number (569279340).

Almost surely, 212263270217 is an apocalyptic number.

It is an amenable number.

12263270217 is a deficient number, since it is larger than the sum of its proper divisors (5953668663).

12263270217 is a wasteful number, since it uses less digits than its factorization.

12263270217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41545.

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 12263270217 in words is "twelve billion, two hundred sixty-three million, two hundred seventy thousand, two hundred seventeen".

Divisors: 1 3 11 33 89 101 267 303 979 1111 2937 3333 8989 26967 41341 98879 124023 296637 454751 1364253 3679349 4175441 11038047 12526323 40472839 45929851 121418517 137789553 371614249 1114842747 4087756739 12263270217