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123314304352330 = 2574131474126801
BaseRepresentation
bin11100000010011101011001…
…010011101000000001001010
3121011121201202220010201121201
4130002131121103220001022
5112130340143403233310
61114133450453254414
734655110263310000
oct3402353123500112
9534551686121551
10123314304352330
1136323337011873
12119b717b03440a
1353a664845a180
142264630b68a70
15e3ca4c259e3a
hex7027594e804a

123314304352330 has 160 divisors (see below), whose sum is σ = 278892772271568. Its totient is φ = 39022841088000.

The previous prime is 123314304352319. The next prime is 123314304352339. The reversal of 123314304352330 is 33253403413321.

It can be written as a sum of positive squares in 8 ways, for example, as 55982613515409 + 67331690836921 = 7482153^2 + 8205589^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123314304352330.

It is not an unprimeable number, because it can be changed into a prime (123314304352339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4601094930 + ... + 4601121730.

Almost surely, 2123314304352330 is an apocalyptic number.

123314304352330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123314304352330 is an abundant number, since it is smaller than the sum of its proper divisors (155578467919238).

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

123314304352330 is a wasteful number, since it uses less digits than its factorization.

123314304352330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41590 (or 41569 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 37.

Adding to 123314304352330 its reverse (33253403413321), we get a palindrome (156567707765651).

The spelling of 123314304352330 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred four million, three hundred fifty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 343 455 490 637 686 910 1274 1715 2401 3185 3430 4459 4802 6370 8918 12005 14741 22295 24010 26801 29482 31213 44590 53602 62426 73705 103187 134005 147410 156065 187607 191633 206374 268010 312130 348413 375214 383266 515935 696826 722309 938035 958165 1031870 1313249 1341431 1444618 1742065 1876070 1916330 2438891 2626498 2682862 3484130 3611545 4877782 5056163 6566245 6707155 7223090 9192743 9390017 10112326 12194455 13132490 13414310 17072237 18385486 18780034 24388910 25280815 34144474 35393141 45963715 46950085 50561630 64349201 65730119 70786282 85361185 91927430 93900170 119505659 128698402 131460238 170722370 176965705 239011318 321746005 328650595 353931410 395073541 460110833 597528295 643492010 657301190 790147082 836539613 920221666 1195056590 1673079226 1975367705 2300554165 2765514787 3950735410 4182698065 4601108330 5135956033 5531029574 8365396130 10271912066 13827573935 19358603509 25679780165 27655147870 35951692231 38717207018 51359560330 71903384462 96793017545 135510224563 179758461155 193586035090 251661845617 271020449126 359516922310 503323691234 677551122815 948571571941 1258309228085 1355102245630 1761632919319 1897143143882 2516618456170 3523265838638 4742857859705 8808164596595 9485715719410 12331430435233 17616329193190 24662860870466 61657152176165 123314304352330