Search a number
-
+
221332003313 = 43163233313433
BaseRepresentation
bin1100111000100001101…
…0100101100111110001
3210011022000012201210012
43032020122211213301
512111241443101223
6245402320544305
721663545662331
oct3161032454761
9704260181705
10221332003313
1185959167003
1236a8b782095
1317b43958845
14a9d92590c1
155b56102c78
hex33886a59f1

221332003313 has 32 divisors (see below), whose sum is σ = 230108022144. Its totient is φ = 212760317952.

The previous prime is 221332003309. The next prime is 221332003327. The reversal of 221332003313 is 313300233122.

221332003313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221332003313 - 22 = 221332003309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221332002313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 511159145 + ... + 511159577.

It is an arithmetic number, because the mean of its divisors is an integer number (7190875692).

Almost surely, 2221332003313 is an apocalyptic number.

It is an amenable number.

221332003313 is a deficient number, since it is larger than the sum of its proper divisors (8776018831).

221332003313 is a wasteful number, since it uses less digits than its factorization.

221332003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 221332003313 its reverse (313300233122), we get a palindrome (534632236435).

The spelling of 221332003313 in words is "two hundred twenty-one billion, three hundred thirty-two million, three thousand, three hundred thirteen".

Divisors: 1 43 163 233 313 433 7009 10019 13459 18619 37979 51019 70579 72929 100889 135529 1633097 2193817 3034897 3135947 4338227 5827747 11887427 16444907 22091227 31578257 511159361 707131001 949922761 1357865051 5147255891 221332003313