Search a number
-
+
20311122304 = 2711130311071
BaseRepresentation
bin10010111010101000…
…110010000110000000
31221102111221220211001
4102322220302012000
5313044121403204
613155241501344
71316220456004
oct227250620600
957374856731
1020311122304
11868310a8a0
123b2a1a1854
131bb8c9b085
14da9752704
157dd2254a4
hex4baa32180

20311122304 has 64 divisors (see below), whose sum is σ = 44179937280. Its totient is φ = 9224409600.

The previous prime is 20311122301. The next prime is 20311122343. The reversal of 20311122304 is 40322111302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311122301) 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 7 ways as a sum of consecutive naturals, for example, 1829089 + ... + 1840159.

It is an arithmetic number, because the mean of its divisors is an integer number (690311520).

Almost surely, 220311122304 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 20311122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089968640).

20311122304 is an abundant number, since it is smaller than the sum of its proper divisors (23868814976).

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

20311122304 is a wasteful number, since it uses less digits than its factorization.

20311122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12399 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20311122304 its reverse (40322111302), we get a palindrome (60633233606).

The spelling of 20311122304 in words is "twenty billion, three hundred eleven million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1303 1408 2606 5212 10424 11071 14333 20848 22142 28666 41696 44284 57332 83392 88568 114664 121781 166784 177136 229328 243562 354272 458656 487124 708544 917312 974248 1417088 1834624 1948496 3896992 7793984 14425513 15587968 28851026 57702052 115404104 158680643 230808208 317361286 461616416 634722572 923232832 1269445144 1846465664 2538890288 5077780576 10155561152 20311122304