Search a number
-
+
30322322322303 = 3112172289040029
BaseRepresentation
bin1101110010011111101110…
…10000000011001101111111
310222100210012210000020210010
412321033313100003031333
512433300104003303203
6144253514345114303
76246500262050454
oct671176720031577
9128323183006703
1030322322322303
1197306964a4500
123498804488993
1313bc4c8b0509b
1476b872db382b
15378b47034303
hex1b93f740337f

30322322322303 has 36 divisors (see below), whose sum is σ = 47207173859720. Its totient is φ = 17296155275520.

The previous prime is 30322322322301. The next prime is 30322322322329.

30322322322303 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30322322322303 - 21 = 30322322322301 is a prime.

It is a super-2 number, since 2×303223223223032 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30322322322301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144415108 + ... + 144624921.

Almost surely, 230322322322303 is an apocalyptic number.

30322322322303 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30322322322303 is a deficient number, since it is larger than the sum of its proper divisors (16884851537417).

30322322322303 is a wasteful number, since it uses less digits than its factorization.

30322322322303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289040088 (or 289040060 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 3032232 and 2322303, that added together give a palindrome (5354535).

The spelling of 30322322322303 in words is "thirty trillion, three hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred three".

Divisors: 1 3 11 17 33 51 121 187 289 363 561 867 2057 3179 6171 9537 34969 104907 289040029 867120087 3179440319 4913680493 9538320957 14741041479 34973843509 54050485423 83532568381 104921530527 162151456269 250597705143 594555339653 918858252191 1783666018959 2756574756573 10107440774101 30322322322303