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12230000013 = 37211231492207
BaseRepresentation
bin10110110001111011…
…01111110110001101
31011120022220101001110
423120331233312031
5200021340000023
65341323202233
7612033166500
oct133075576615
934508811043
1012230000013
115206575030
122453976379
1311cb9c3aca
148403ad137
154b8a53a93
hex2d8f6fd8d

12230000013 has 96 divisors (see below), whose sum is σ = 21747916800. Its totient is φ = 6033498240.

The previous prime is 12229999997. The next prime is 12230000071. The reversal of 12230000013 is 31000003221.

It is a happy number.

It is not a de Polignac number, because 12230000013 - 24 = 12229999997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230005013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5540356 + ... + 5542562.

It is an arithmetic number, because the mean of its divisors is an integer number (226540800).

Almost surely, 212230000013 is an apocalyptic number.

It is an amenable number.

12230000013 is a deficient number, since it is larger than the sum of its proper divisors (9517916787).

12230000013 is a wasteful number, since it uses less digits than its factorization.

12230000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12230000013 its reverse (31000003221), we get a palindrome (43230003234).

The spelling of 12230000013 in words is "twelve billion, two hundred thirty million, thirteen", and thus it is an aban number.

Divisors: 1 3 7 11 21 23 33 49 69 77 147 149 161 231 253 447 483 539 759 1043 1127 1617 1639 1771 2207 3129 3381 3427 4917 5313 6621 7301 10281 11473 12397 15449 21903 23989 24277 34419 37191 37697 46347 50761 71967 72831 80311 108143 113091 152283 167923 169939 240933 263879 324429 328843 355327 503769 509817 558371 791637 986529 1065981 1189573 1675113 1847153 2301901 2487289 3568719 3617273 3908597 5541459 6905703 7461867 7563389 10851819 11725791 16113307 22690167 25320911 27360179 48339921 52943723 75962733 82080537 83197279 158831169 177246377 249591837 370606061 531739131 582380953 1111818183 1747142859 4076666671 12230000013