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12315509206 = 271113172315733
BaseRepresentation
bin10110111100000111…
…11100000111010110
31011210021210200121121
423132003330013112
5200210232243311
65354020034154
7614122046440
oct133603740726
934707720547
1012315509206
11524a869390
12247853295a
131213632970
1484b8ab490
154c12e4b71
hex2de0fc1d6

12315509206 has 128 divisors (see below), whose sum is σ = 27405858816. Its totient is φ = 3987118080.

The previous prime is 12315509201. The next prime is 12315509209. The reversal of 12315509206 is 60290551321.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315509201) 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 63 ways as a sum of consecutive naturals, for example, 774916 + ... + 790648.

It is an arithmetic number, because the mean of its divisors is an integer number (214108272).

Almost surely, 212315509206 is an apocalyptic number.

12315509206 is an abundant number, since it is smaller than the sum of its proper divisors (15090349610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12315509206 is a wasteful number, since it uses less digits than its factorization.

12315509206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15806.

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 12315509206 in words is "twelve billion, three hundred fifteen million, five hundred nine thousand, two hundred six".

Divisors: 1 2 7 11 13 14 17 22 23 26 34 46 77 91 119 143 154 161 182 187 221 238 253 286 299 322 374 391 442 506 598 782 1001 1309 1547 1771 2002 2093 2431 2618 2737 3094 3289 3542 4186 4301 4862 5083 5474 6578 8602 10166 15733 17017 23023 30107 31466 34034 35581 46046 55913 60214 71162 110131 111826 173063 204529 220262 267461 346126 361859 391391 409058 534922 723718 782782 1211441 1431703 1872227 2249819 2422882 2533013 2863406 2942071 3476993 3744454 3980449 4499638 4704167 5066026 5884142 6151603 6953986 7960898 9408334 12303206 15748733 20594497 24338951 27863143 31497466 32929169 38246923 41188994 43061221 48677902 51745837 55726286 65858338 67667633 76493846 79970839 86122442 103491674 135335266 159941678 267728461 362220859 473673431 535456922 559795873 724441718 879679229 947346862 1119591746 1759358458 6157754603 12315509206