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12013231002003 = 3271122753572437
BaseRepresentation
bin1010111011010000110001…
…0111011101000110010011
31120112110020201112122102200
42232310030113131012103
53033311044114031003
641314445132214243
72346633030455250
oct256641427350623
946473221478380
1012013231002003
113911867797500
1214202b290a383
13691ac58b195a
142d762ccba427
1515c7597a26a3
hexaed0c5dd193

12013231002003 has 72 divisors (see below), whose sum is σ = 21806068493664. Its totient is φ = 6238361733120.

The previous prime is 12013231001983. The next prime is 12013231002007. The reversal of 12013231002003 is 30020013231021.

12013231002003 is a `hidden beast` number, since 1 + 20 + 132 + 310 + 0 + 200 + 3 = 666.

It is not a de Polignac number, because 12013231002003 - 25 = 12013231001971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12013231002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20699901 + ... + 21272337.

It is an arithmetic number, because the mean of its divisors is an integer number (302862062412).

Almost surely, 212013231002003 is an apocalyptic number.

12013231002003 is a deficient number, since it is larger than the sum of its proper divisors (9792837491661).

12013231002003 is a wasteful number, since it uses less digits than its factorization.

12013231002003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575225 (or 575211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013231002003 its reverse (30020013231021), we get a palindrome (42033244233024).

The spelling of 12013231002003 in words is "twelve trillion, thirteen billion, two hundred thirty-one million, two thousand, three".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 2753 7623 8259 19271 24777 30283 57813 90849 173439 211981 272547 333113 572437 635943 999339 1717311 1907829 2331791 2998017 4007059 5151933 6296807 6995373 12021177 18890421 20986119 36063531 44077649 56671263 69264877 132232947 207794631 396698841 484854139 623383893 1454562417 1575919061 4363687251 4727757183 11031433427 14183271549 17335109671 33094300281 52005329013 99282900843 121345767697 156015987039 190686206381 364037303091 572058619143 1092111909273 1334803444667 1716175857429 4004410334001 12013231002003