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221331233323 = 23179463116113
BaseRepresentation
bin1100111000100001011…
…1101001101000101011
3210011021221202121120001
43032020113221220223
512111241243431243
6245402252243431
721663536304424
oct3161027515053
9704257677501
10221331233323
1185958790552
1236a8b470577
1317b43749225
14a9d90d864b
155b55eeea4d
hex33885e9a2b

221331233323 has 16 divisors (see below), whose sum is σ = 232748190720. Its totient is φ = 210068901504.

The previous prime is 221331233311. The next prime is 221331233329. The reversal of 221331233323 is 323332133122.

221331233323 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 a de Polignac number, because none of the positive numbers 2k-221331233323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221331233291 and 221331233300.

It is not an unprimeable number, because it can be changed into a prime (221331233329) 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 15 ways as a sum of consecutive naturals, for example, 1848115 + ... + 1964227.

It is an arithmetic number, because the mean of its divisors is an integer number (14546761920).

Almost surely, 2221331233323 is an apocalyptic number.

221331233323 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

221331233323 is a deficient number, since it is larger than the sum of its proper divisors (11416957397).

221331233323 is a wasteful number, since it uses less digits than its factorization.

221331233323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116778.

The product of its digits is 11664, while the sum is 28.

Adding to 221331233323 its reverse (323332133122), we get a palindrome (544663366445).

The spelling of 221331233323 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 23 179 463 4117 10649 82877 116113 1906171 2670599 20784227 53760319 478037221 1236487337 9623097101 221331233323