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320143121341023 = 319737913770110141
BaseRepresentation
bin100100011001010110010000…
…1000001100101101001011111
31112222112101100120110112012010
41020302230201001211221133
5313430211103030403043
63052515415233242303
7124301401664031621
oct11062544101455137
91488471316415163
10320143121341023
1193009a31979382
122baa5a6b703393
131098349cb38496
14590b01ca72c11
1527029cd478133
hex1232b21065a5f

320143121341023 has 128 divisors (see below), whose sum is σ = 465319763251200. Its totient is φ = 195166153728000.

The previous prime is 320143121340919. The next prime is 320143121341097.

320143121341023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320143121341023 - 228 = 320142852905567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320143121341223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31569181533 + ... + 31569191673.

It is an arithmetic number, because the mean of its divisors is an integer number (3635310650400).

Almost surely, 2320143121341023 is an apocalyptic number.

320143121341023 is a deficient number, since it is larger than the sum of its proper divisors (145176641910177).

320143121341023 is a wasteful number, since it uses less digits than its factorization.

320143121341023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 320143121341023 in words is "three hundred twenty trillion, one hundred forty-three billion, one hundred twenty-one million, three hundred forty-one thousand, twenty-three".

Divisors: 1 3 19 57 73 79 137 219 237 411 701 1387 1501 2103 2603 4161 4503 5767 7809 10001 10141 10823 13319 17301 30003 30423 32469 39957 51173 55379 96037 109573 153519 166137 190019 192679 205637 288111 328719 570057 578037 616911 740293 790079 801139 972287 1052201 1389317 1824703 2220879 2370237 2403417 2916861 3156603 4042667 4167951 5474109 7010701 7108841 7586923 12128001 14065567 15011501 15221641 21032103 21326523 22760769 26397023 42196701 45034503 45664923 58483147 76810673 79191069 101420141 109756043 133203319 135067979 144151537 175449441 230432019 304260423 329268129 399609957 405203937 432454611 518945393 553845379 561598439 973911217 1111179793 1556836179 1661536137 1684795317 1926982679 2085364817 2921733651 3333539379 5780948037 6256094451 8012191139 9859962467 10523062201 10670370341 18504313123 24036573417 29579887401 31569186603 32011111023 40996686047 55512939369 71095518841 76938986143 122990058141 152231631641 213286556523 230816958429 456694894923 778937034893 1350814857979 1461840736717 2336811104679 4052444573937 4385522210151 5616545988439 16849637965317 106714373780341 320143121341023