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12002321100231 = 3271137432253159
BaseRepresentation
bin1010111010101000001000…
…0101011110110111000111
31120111102002101122012201200
42232222002011132313013
53033121223200201411
641305442403153543
72346065464024410
oct256520205366707
946442071565650
1012002321100231
1139081793a7860
12141a1690758b3
13690a77541b87
142d6cb5d80807
1515c31baade56
hexaea8215edc7

12002321100231 has 144 divisors (see below), whose sum is σ = 22727092677120. Its totient is φ = 5925355390080.

The previous prime is 12002321100227. The next prime is 12002321100283. The reversal of 12002321100231 is 13200112320021.

12002321100231 is a `hidden beast` number, since 1 + 200 + 23 + 211 + 0 + 0 + 231 = 666.

It is not a de Polignac number, because 12002321100231 - 22 = 12002321100227 is a prime.

It is a super-2 number, since 2×120023211002312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002321100031) 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 143 ways as a sum of consecutive naturals, for example, 47283630 + ... + 47536788.

It is an arithmetic number, because the mean of its divisors is an integer number (157827032480).

Almost surely, 212002321100231 is an apocalyptic number.

12002321100231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12002321100231 is a deficient number, since it is larger than the sum of its proper divisors (10724771576889).

12002321100231 is a wasteful number, since it uses less digits than its factorization.

12002321100231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253306 (or 253260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12002321100231 its reverse (13200112320021), we get a palindrome (25202433420252).

The spelling of 12002321100231 in words is "twelve trillion, two billion, three hundred twenty-one million, one hundred thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 37 43 63 77 99 111 129 231 259 301 333 387 407 473 693 777 903 1221 1419 1591 1849 2331 2709 2849 3311 3663 4257 4773 5547 8547 9933 11137 12943 14319 16641 17501 20339 25641 29799 33411 38829 52503 61017 68413 100233 116487 122507 142373 157509 183051 205239 253159 367521 427119 478891 615717 752543 759477 1102563 1281357 1436673 1772113 2257629 2278431 2784749 4310019 5267801 5316339 6772887 8354247 9366883 10885837 15803403 15949017 19493243 25062741 28100649 32657511 47410209 58479729 65568181 76200859 84301947 97972533 103035713 119744207 175439187 196704543 228602577 309107139 359232621 402775969 468090991 590113629 685807731 721249991 838209449 927321417 1077697863 1208327907 1404272973 2163749973 2514628347 2819431783 3276636937 3624983721 4212818919 4430535659 5149000901 6491249919 7543885041 8458295349 9829910811 13291606977 15447002703 17319366667 25374886047 29489732433 31013749613 36043006307 39874820931 46341008109 51958100001 93041248839 108129018921 121235566669 155874300003 190513033337 279123746517 324387056763 363706700007 571539100011 1091120100021 1333591233359 1714617300033 4000773700077 12002321100231