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231121322320 = 24572199296279
BaseRepresentation
bin1101011100111111100…
…1111000000101010000
3211002120020112122220211
43113033321320011100
512241314024303240
6254101540013504
722461254553100
oct3271771700520
9732506478824
10231121322320
118a021a63299
1238962091294
1318a43abc1b5
14b287419200
15602a746bea
hex35cfe78150

231121322320 has 120 divisors (see below), whose sum is σ = 628232112000. Its totient is φ = 78843131136.

The previous prime is 231121322291. The next prime is 231121322363. The reversal of 231121322320 is 23223121132.

It is a junction number, because it is equal to n+sod(n) for n = 231121322291 and 231121322300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631941 + ... + 928219.

It is an arithmetic number, because the mean of its divisors is an integer number (5235267600).

Almost surely, 2231121322320 is an apocalyptic number.

231121322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231121322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314116056000).

231121322320 is an abundant number, since it is smaller than the sum of its proper divisors (397110789680).

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

231121322320 is a wasteful number, since it uses less digits than its factorization.

231121322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296505 (or 296492 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 231121322320 its reverse (23223121132), we get a palindrome (254344443452).

The spelling of 231121322320 in words is "two hundred thirty-one billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 199 245 280 392 398 490 560 784 796 980 995 1393 1592 1960 1990 2786 3184 3920 3980 5572 6965 7960 9751 11144 13930 15920 19502 22288 27860 39004 48755 55720 78008 97510 111440 156016 195020 296279 390040 592558 780080 1185116 1481395 2073953 2370232 2962790 4147906 4740464 5925580 8295812 10369765 11851160 14517671 16591624 20739530 23702320 29035342 33183248 41479060 58070684 58959521 72588355 82958120 116141368 117919042 145176710 165916240 232282736 235838084 290353420 294797605 412716647 471676168 580706840 589595210 825433294 943352336 1161413680 1179190420 1650866588 2063583235 2358380840 2889016529 3301733176 4127166470 4716761680 5778033058 6603466352 8254332940 11556066116 14445082645 16508665880 23112132232 28890165290 33017331760 46224264464 57780330580 115560661160 231121322320