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12002110211090 = 251927179592741
BaseRepresentation
bin1010111010100111010110…
…0001000000010000010010
31120111101112200210221012202
42232221311201000100102
53033120310203223330
641305405431123202
72346060323345306
oct256516541002022
946441480727182
1012002110211090
11390808035770a
12141a10a513502
13690a429443bc
142d6c95d65d06
1515c308303445
hexaea75840412

12002110211090 has 96 divisors (see below), whose sum is σ = 23414541903360. Its totient is φ = 4427341027200.

The previous prime is 12002110211087. The next prime is 12002110211093. The reversal of 12002110211090 is 9011201120021.

It is an interprime number because it is at equal distance from previous prime (12002110211087) and next prime (12002110211093).

It is not an unprimeable number, because it can be changed into a prime (12002110211093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19952120 + ... + 20544860.

It is an arithmetic number, because the mean of its divisors is an integer number (243901478160).

Almost surely, 212002110211090 is an apocalyptic number.

12002110211090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002110211090 is a deficient number, since it is larger than the sum of its proper divisors (11412431692270).

12002110211090 is a wasteful number, since it uses less digits than its factorization.

12002110211090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592936 (or 592917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 12002110211090 in words is "twelve trillion, two billion, one hundred ten million, two hundred eleven thousand, ninety".

Divisors: 1 2 5 10 19 38 71 79 95 142 158 190 355 361 395 710 722 790 1349 1501 1805 2698 3002 3610 5609 6745 7505 11218 13490 15010 25631 28045 28519 51262 56090 57038 106571 128155 142595 213142 256310 285190 532855 592741 1065710 1185482 2024849 2963705 4049698 5927410 10124245 11262079 20248490 22524158 42084611 46826539 56310395 84169222 93653078 112620790 210423055 213979501 234132695 420846110 427959002 468265390 799607609 889704241 1069897505 1599215218 1779408482 2139795010 3324684269 3998038045 4448521205 6649368538 7996076090 8897042410 15192544571 16623421345 16904380579 30385089142 33246842690 33808761158 63169001111 75962722855 84521902895 126338002222 151925445710 169043805790 315845005555 631690011110 1200211021109 2400422042218 6001055105545 12002110211090