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213122321213211 = 3322934481768221
BaseRepresentation
bin110000011101010101101000…
…001111111110011100011011
31000221121021222000002001021000
4300131111220033332130123
5210413244003212310321
62033135013122120043
762614402540254114
oct6035255017763433
91027537860061230
10213122321213211
11619a873a267a93
121baa064a1b0023
1391bc46bcc31a7
143a8b26538320b
151998c0238d826
hexc1d5683fe71b

213122321213211 has 32 divisors (see below), whose sum is σ = 315945371327040. Its totient is φ = 141987705753600.

The previous prime is 213122321213209. The next prime is 213122321213237. The reversal of 213122321213211 is 112312123221312.

213122321213211 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 232 + 1 + 213 + 211 = 666.

It is not a de Polignac number, because 213122321213211 - 21 = 213122321213209 is a prime.

It is a super-2 number, since 2×2131223212132112 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (213122321213261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277039081 + ... + 277807301.

It is an arithmetic number, because the mean of its divisors is an integer number (9873292853970).

Almost surely, 2213122321213211 is an apocalyptic number.

213122321213211 is a deficient number, since it is larger than the sum of its proper divisors (102823050113829).

213122321213211 is a wasteful number, since it uses less digits than its factorization.

213122321213211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775004 (or 774998 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 213122321213211 its reverse (112312123221312), we get a palindrome (325434444434523).

The spelling of 213122321213211 in words is "two hundred thirteen trillion, one hundred twenty-two billion, three hundred twenty-one million, two hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 9 27 2293 4481 6879 13443 20637 40329 61911 120987 768221 2304663 6913989 10274933 20741967 30824799 92474397 277423191 1761530753 3442398301 5284592259 10327194903 15853776777 30981584709 47561330331 92944754127 7893419304193 23680257912579 71040773737737 213122321213211