Search a number
-
+
20231300112 = 2432331757809
BaseRepresentation
bin10010110101111000…
…010010010000010000
31221012221202112100120
4102311320102100100
5312413203100422
613143310550240
71314231133152
oct226570222020
957187675316
1020231300112
118642050241
123b07508380
131ba55a08ca
14d9ccd4ad2
157d620945c
hex4b5e12410

20231300112 has 80 divisors (see below), whose sum is σ = 54709534080. Its totient is φ = 6430099456.

The previous prime is 20231300083. The next prime is 20231300113. The reversal of 20231300112 is 21100313202.

It is a super-2 number, since 2×202313001122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20231300091 and 20231300100.

It is not an unprimeable number, because it can be changed into a prime (20231300113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321064 + ... + 378872.

It is an arithmetic number, because the mean of its divisors is an integer number (683869176).

Almost surely, 220231300112 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 20231300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27354767040).

20231300112 is an abundant number, since it is smaller than the sum of its proper divisors (34478233968).

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

20231300112 is a wasteful number, since it uses less digits than its factorization.

20231300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58160 (or 58154 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20231300112 its reverse (21100313202), we get a palindrome (41331613314).

The spelling of 20231300112 in words is "twenty billion, two hundred thirty-one million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 317 368 552 634 951 1104 1268 1902 2536 3804 5072 7291 7608 14582 15216 21873 29164 43746 57809 58328 87492 115618 116656 173427 174984 231236 346854 349968 462472 693708 924944 1329607 1387416 2659214 2774832 3988821 5318428 7977642 10636856 15955284 18325453 21273712 31910568 36650906 54976359 63821136 73301812 109952718 146603624 219905436 293207248 421485419 439810872 842970838 879621744 1264456257 1685941676 2528912514 3371883352 5057825028 6743766704 10115650056 20231300112