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231301223130 = 235611096731723
BaseRepresentation
bin1101011101101010100…
…0001001001011011010
3211010000210001120102210
43113122220021023122
512242201103120010
6254131443535550
722465600646205
oct3273250111332
9733023046383
10231301223130
118a10456844a
12389b238a5b6
1318a72159b93
14b2a328893c
15603b430b20
hex35daa092da

231301223130 has 128 divisors (see below), whose sum is σ = 570576695040. Its totient is φ = 59988418560.

The previous prime is 231301223123. The next prime is 231301223143. The reversal of 231301223130 is 31322103132.

231301223130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231301223097 and 231301223106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 134242449 + ... + 134244171.

It is an arithmetic number, because the mean of its divisors is an integer number (4457630430).

Almost surely, 2231301223130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231301223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285288347520).

231301223130 is an abundant number, since it is smaller than the sum of its proper divisors (339275471910).

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

231301223130 is a wasteful number, since it uses less digits than its factorization.

231301223130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 231301223130 its reverse (31322103132), we get a palindrome (262623326262).

The spelling of 231301223130 in words is "two hundred thirty-one billion, three hundred one million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 109 122 183 218 305 327 366 545 610 654 673 915 1090 1346 1635 1723 1830 2019 3270 3365 3446 4038 5169 6649 6730 8615 10095 10338 13298 17230 19947 20190 25845 33245 39894 41053 51690 66490 73357 82106 99735 105103 123159 146714 187807 199470 205265 210206 220071 246318 315309 366785 375614 410530 440142 525515 563421 615795 630618 733570 939035 1051030 1100355 1126842 1159579 1231590 1576545 1878070 2200710 2319158 2817105 3153090 3478737 4474777 5634210 5797895 6957474 8949554 11456227 11595790 13424331 17393685 22373885 22912454 26848662 34368681 34787370 44747770 57281135 67121655 68737362 70734319 114562270 126394111 134243310 141468638 171843405 212202957 252788222 343686810 353671595 379182333 424405914 631970555 707343190 758364666 1061014785 1263941110 1895911665 2122029570 3791823330 7710040771 15420081542 23130122313 38550203855 46260244626 77100407710 115650611565 231301223130