Search a number
-
+
221303331313031 = 1138352528680587
BaseRepresentation
bin110010010100011000110010…
…011100110101010110000111
31002000120101120122220020211102
4302110120302130311112013
5213001313210304004111
62102401202532530315
764420431565611032
oct6224306234652607
91060511518806742
10221303331313031
1164572241184340
12209a2099a8099b
139663a78893b96
143c911d1a38019
151a8b91a53613b
hexc94632735587

221303331313031 has 8 divisors (see below), whose sum is σ = 242052160149504. Its totient is φ = 200659559838520.

The previous prime is 221303331313003. The next prime is 221303331313073. The reversal of 221303331313031 is 130313133303122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221303331313031 is a prime.

It is a super-3 number, since 3×2213033313130313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221303331312985 and 221303331313003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221303331318031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26264336081 + ... + 26264344506.

It is an arithmetic number, because the mean of its divisors is an integer number (30256520018688).

Almost surely, 2221303331313031 is an apocalyptic number.

221303331313031 is a deficient number, since it is larger than the sum of its proper divisors (20748828836473).

221303331313031 is a wasteful number, since it uses less digits than its factorization.

221303331313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52528680981.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 221303331313031 its reverse (130313133303122), we get a palindrome (351616464616153).

The spelling of 221303331313031 in words is "two hundred twenty-one trillion, three hundred three billion, three hundred thirty-one million, three hundred thirteen thousand, thirty-one".

Divisors: 1 11 383 4213 52528680587 577815486457 20118484664821 221303331313031