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211221322323 = 31121459398819
BaseRepresentation
bin1100010010110111000…
…1011001101001010011
3202012012101011220212220
43010231301121221103
511430040124303243
6241011141552123
721155155421304
oct3045561315123
9665171156786
10211221322323
118163aa25800
1234b29715643
1316bc205807b
14a31a5247ab
155763680783
hex312dc59a53

211221322323 has 24 divisors (see below), whose sum is σ = 309771470400. Its totient is φ = 127924861680.

The previous prime is 211221322307. The next prime is 211221322363. The reversal of 211221322323 is 323223122112.

211221322323 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 211221322323 - 24 = 211221322307 is a prime.

It is a super-2 number, since 2×2112213223232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221322293 and 211221322302.

It is not an unprimeable number, because it can be changed into a prime (211221322363) 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 23 ways as a sum of consecutive naturals, for example, 330208 + ... + 729026.

It is an arithmetic number, because the mean of its divisors is an integer number (12907144600).

Almost surely, 2211221322323 is an apocalyptic number.

211221322323 is a deficient number, since it is larger than the sum of its proper divisors (98550148077).

211221322323 is a wasteful number, since it uses less digits than its factorization.

211221322323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400303 (or 400292 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 211221322323 its reverse (323223122112), we get a palindrome (534444444435).

The spelling of 211221322323 in words is "two hundred eleven billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 3 11 33 121 363 1459 4377 16049 48147 176539 398819 529617 1196457 4387009 13161027 48257099 144771297 581876921 1745630763 6400646131 19201938393 70407107441 211221322323