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12302322232002 = 23112109160197103
BaseRepresentation
bin1011001100000101101110…
…0010111110101011000010
31121120002102222200201222020
42303001123202332223002
53103030123442411002
642055335300422310
72406546004412505
oct263013342765302
947502388621866
1012302322232002
113a134271a7400
1214683329a7996
136b314767896a
143076152d913c
151650293e32bc
hexb305b8beac2

12302322232002 has 96 divisors (see below), whose sum is σ = 27310220340480. Its totient is φ = 3691429632000.

The previous prime is 12302322231961. The next prime is 12302322232007. The reversal of 12302322232002 is 20023222320321.

12302322232002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123023222320022 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12302322232007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126644983 + ... + 126742085.

It is an arithmetic number, because the mean of its divisors is an integer number (284481461880).

Almost surely, 212302322232002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302322232002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655110170240).

12302322232002 is an abundant number, since it is smaller than the sum of its proper divisors (15007898108478).

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

12302322232002 is a wasteful number, since it uses less digits than its factorization.

12302322232002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98840 (or 98829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12302322232002 its reverse (20023222320321), we get a palindrome (32325544552323).

The spelling of 12302322232002 in words is "twelve trillion, three hundred two billion, three hundred twenty-two million, two hundred thirty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 654 726 1199 1601 2398 3202 3597 4803 7194 9606 13189 17611 26378 35222 39567 52833 79134 97103 105666 174509 193721 194206 291309 349018 387442 523527 581163 582618 1047054 1068133 1162326 1919599 2136266 3204399 3839198 5758797 6408798 10584227 11517594 11749463 21115589 21168454 23498926 31752681 35248389 42231178 63346767 63505362 70496778 116426497 126693534 155461903 232852994 310923806 349279491 466385709 698558982 932771418 1280691467 1710080933 2561382934 3420161866 3842074401 5130242799 7684148802 10260485598 16945347427 18810890263 33890694854 37621780526 50836042281 56432670789 101672084562 112865341578 186398821697 372797643394 559196465091 1118392930182 2050387038667 4100774077334 6151161116001 12302322232002