Search a number
-
+
20302002112 = 267234345821
BaseRepresentation
bin10010111010000101…
…111111011111000000
31221101212210120021011
4102322011333133000
5313034303031422
613154314210304
71316050112350
oct227205773700
957355716234
1020302002112
118678a50747
123b27123994
131bb7126b02
14da845ab60
157dc523077
hex4ba17f7c0

20302002112 has 112 divisors (see below), whose sum is σ = 49162240512. Its totient is φ = 8128834560.

The previous prime is 20302002109. The next prime is 20302002121. The reversal of 20302002112 is 21120020302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 20302002092 and 20302002101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 420162 + ... + 465982.

It is an arithmetic number, because the mean of its divisors is an integer number (438948576).

Almost surely, 220302002112 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 20302002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24581120256).

20302002112 is an abundant number, since it is smaller than the sum of its proper divisors (28860238400).

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

20302002112 is a wasteful number, since it uses less digits than its factorization.

20302002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45906 (or 45896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20302002112 its reverse (21120020302), we get a palindrome (41422022414).

The spelling of 20302002112 in words is "twenty billion, three hundred two million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 64 86 92 112 161 172 184 224 301 322 344 368 448 602 644 688 736 989 1204 1288 1376 1472 1978 2408 2576 2752 3956 4816 5152 6923 7912 9632 10304 13846 15824 19264 27692 31648 45821 55384 63296 91642 110768 183284 221536 320747 366568 443072 641494 733136 1053883 1282988 1466272 1970303 2107766 2565976 2932544 3940606 4215532 5131952 7377181 7881212 8431064 10263904 13792121 14754362 15762424 16862128 20527808 27584242 29508724 31524848 33724256 45316969 55168484 59017448 63049696 67448512 90633938 110336968 118034896 126099392 181267876 220673936 236069792 317218783 362535752 441347872 472139584 634437566 725071504 882695744 1268875132 1450143008 2537750264 2900286016 5075500528 10151001056 20302002112