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123123322030002 = 237172914714042327
BaseRepresentation
bin11011111111101011100001…
…110111111000011110110010
3121010221110211000012112100020
4123333223201313320132302
5112114223030414430002
61113510023455304310
734635236461331310
oct3377534167703662
9533843730175306
10123123322030002
113625a342516348
121198615b51b096
13539163046a658
1422592b45810b0
15e37ac08052bc
hex6ffae1df87b2

123123322030002 has 128 divisors (see below), whose sum is σ = 308463905341440. Its totient is φ = 31945370526720.

The previous prime is 123123322029989. The next prime is 123123322030043. The reversal of 123123322030002 is 200030223321321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28437363 + ... + 32479689.

It is an arithmetic number, because the mean of its divisors is an integer number (2409874260480).

Almost surely, 2123123322030002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123123322030002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154231952670720).

123123322030002 is an abundant number, since it is smaller than the sum of its proper divisors (185340583311438).

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

123123322030002 is a wasteful number, since it uses less digits than its factorization.

123123322030002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043856.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 123123322030002 its reverse (200030223321321), we get a palindrome (323153545351323).

The spelling of 123123322030002 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, three hundred twenty-two million, thirty thousand, two".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 174 203 238 357 406 493 609 714 986 1218 1471 1479 2942 2958 3451 4413 6902 8826 10297 10353 20594 20706 25007 30891 42659 50014 61782 75021 85318 127977 150042 175049 255954 298613 350098 525147 597226 725203 895839 1050294 1450406 1791678 2175609 4042327 4351218 5076421 8084654 10152842 12126981 15229263 24253962 28296289 30458526 56592578 68719559 84888867 117227483 137439118 169777734 206158677 234454966 351682449 412317354 481036913 703364898 820592381 962073826 1443110739 1641184762 1992867211 2461777143 2886221478 3985734422 4923554286 5946263017 5978601633 11892526034 11957203266 13950070477 17838789051 27900140954 35677578102 41623841119 41850211431 83247682238 83700422862 101086471289 124871523357 172441627493 202172942578 249743046714 303259413867 344883254986 517324882479 606518827734 707605299023 1034649764958 1207091392451 1415210598046 2122815897069 2414182784902 2931507667381 3621274177353 4245631794138 5863015334762 7242548354706 8794523002143 17589046004286 20520553671667 41041107343334 61561661015001 123123322030002