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12311132200209 = 3322925128328031
BaseRepresentation
bin1011001100100110100010…
…1010010101110100010001
31121120221011222012111101000
42303021220222111310101
53103201144320401314
642103353412532213
72410310222044143
oct263115052256421
947527158174330
1012311132200209
113a171381a3967
121469b91321069
136b3c1c951bbb
14307c0d3a4c93
15165392a84209
hexb3268a95d11

12311132200209 has 64 divisors (see below), whose sum is σ = 18456986419200. Its totient is φ = 8109975960000.

The previous prime is 12311132200187. The next prime is 12311132200243. The reversal of 12311132200209 is 90200223111321.

12311132200209 is a `hidden beast` number, since 1 + 2 + 311 + 1 + 322 + 0 + 0 + 20 + 9 = 666.

It is not a de Polignac number, because 12311132200209 - 212 = 12311132196113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12311132200249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439183024 + ... + 439211054.

It is an arithmetic number, because the mean of its divisors is an integer number (288390412800).

Almost surely, 212311132200209 is an apocalyptic number.

It is an amenable number.

12311132200209 is a deficient number, since it is larger than the sum of its proper divisors (6145854218991).

12311132200209 is a wasteful number, since it uses less digits than its factorization.

12311132200209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28803 (or 28797 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12311132200209 in words is "twelve trillion, three hundred eleven billion, one hundred thirty-two million, two hundred thousand, two hundred nine".

Divisors: 1 3 9 27 229 251 283 687 753 849 2061 2259 2547 6183 6777 7641 28031 57479 64807 71033 84093 172437 194421 213099 252279 517311 583263 639297 756837 1551933 1749789 1917891 6419099 7035781 7932773 16266557 19257297 21107343 23798319 48799671 57771891 63322029 71394957 146399013 173315673 189966087 214184871 439197039 1611193849 1816605017 1991126023 4833581547 5449815051 5973378069 14500744641 16349445153 17920134207 43502233923 49048335459 53760402621 455967859267 1367903577801 4103710733403 12311132200209