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320323130112320 = 26544920531085933
BaseRepresentation
bin100100011010101010000101…
…0011000100011100101000000
31120000011120222200201120101122
41020311110022120203211000
5313441133232302043240
63053134225310051412
7124320403530243206
oct11065241230434500
91500146880646348
10320323130112320
1193079305161565
122bb149281a9b68
131099745953123a
145915a17ab3076
1527075168154b5
hex123550a623940

320323130112320 has 112 divisors (see below), whose sum is σ = 764841342704400. Its totient is φ = 127781496815616.

The previous prime is 320323130112253. The next prime is 320323130112379. The reversal of 320323130112320 is 23211031323023.

It can be written as a sum of positive squares in 8 ways, for example, as 42623035791424 + 277700094320896 = 6528632^2 + 16664336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 320323130112320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294432074 + ... + 295518006.

Almost surely, 2320323130112320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320323130112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382420671352200).

320323130112320 is an abundant number, since it is smaller than the sum of its proper divisors (444518212592080).

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

320323130112320 is a wasteful number, since it uses less digits than its factorization.

320323130112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088452 (or 1088442 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 320323130112320 its reverse (23211031323023), we get a palindrome (343534161435343).

The spelling of 320323130112320 in words is "three hundred twenty trillion, three hundred twenty-three billion, one hundred thirty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 449 898 1796 2053 2245 3592 4106 4490 7184 8212 8980 10265 14368 16424 17960 20530 28736 32848 35920 41060 65696 71840 82120 131392 143680 164240 328480 656960 921797 1085933 1843594 2171866 3687188 4343732 4608985 5429665 7374376 8687464 9217970 10859330 14748752 17374928 18435940 21718660 29497504 34749856 36871880 43437320 58995008 69499712 73743760 86874640 147487520 173749280 294975040 347498560 487583917 975167834 1950335668 2229420449 2437919585 3900671336 4458840898 4875839170 7801342672 8917681796 9751678340 11147102245 15602685344 17835363592 19503356680 22294204490 31205370688 35670727184 39006713360 44588408980 71341454368 78013426720 89176817960 142682908736 156026853440 178353635920 356707271840 713414543680 1001009781601 2002019563202 4004039126404 5005048908005 8008078252808 10010097816010 16016156505616 20020195632020 32032313011232 40040391264040 64064626022464 80080782528080 160161565056160 320323130112320