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211313333223 = 3421557121019
BaseRepresentation
bin1100010011001101000…
…0011001001111100111
3202012102210022120010000
43010303100121033213
511430232203130343
6241024230032343
721160353460536
oct3046320311747
9665383276100
10211313333223
118168795a973
1234b544a86b3
1316c081323a5
14a32883631d
15576b7a7ed3
hex31334193e7

211313333223 has 20 divisors (see below), whose sum is σ = 315682848360. Its totient is φ = 140867856432.

The previous prime is 211313333167. The next prime is 211313333237. The reversal of 211313333223 is 322333313112.

211313333223 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 333 + 322 + 3 = 666.

211313333223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211313333223 - 210 = 211313332199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313333323) 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 19 ways as a sum of consecutive naturals, for example, 1685608 + ... + 1806626.

It is an arithmetic number, because the mean of its divisors is an integer number (15784142418).

Almost surely, 2211313333223 is an apocalyptic number.

211313333223 is a deficient number, since it is larger than the sum of its proper divisors (104369515137).

211313333223 is a wasteful number, since it uses less digits than its factorization.

211313333223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142588 (or 142579 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 211313333223 its reverse (322333313112), we get a palindrome (533646646335).

The spelling of 211313333223 in words is "two hundred eleven billion, three hundred thirteen million, three hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 27 81 21557 64671 121019 194013 363057 582039 1089171 1746117 3267513 9802539 2608806583 7826419749 23479259247 70437777741 211313333223