Search a number
-
+
212022101201211 = 32714767227902091
BaseRepresentation
bin110000001101010100111110…
…000001101101000100111011
31000210201010002210000111210200
4300031110332001231010323
5210242232230401414321
62030533335245013243
762442043214413140
oct6015247601550473
91023633083014720
10212022101201211
11616140827a57a4
121b943378854223
13913c7a1774c02
143a4dcd29a83c7
15197a2ac42dd26
hexc0d53e06d13b

212022101201211 has 24 divisors (see below), whose sum is σ = 350028441844224. Its totient is φ = 121147281393840.

The previous prime is 212022101201161. The next prime is 212022101201213. The reversal of 212022101201211 is 112102101220212.

212022101201211 is a `hidden beast` number, since 2 + 120 + 2 + 210 + 120 + 1 + 211 = 666.

It is not a de Polignac number, because 212022101201211 - 29 = 212022101200699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212022101201213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113020725 + ... + 114881366.

It is an arithmetic number, because the mean of its divisors is an integer number (14584518410176).

Almost surely, 2212022101201211 is an apocalyptic number.

212022101201211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212022101201211 is a deficient number, since it is larger than the sum of its proper divisors (138006340643013).

212022101201211 is a wasteful number, since it uses less digits than its factorization.

212022101201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227916871 (or 227916868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212022101201211 its reverse (112102101220212), we get a palindrome (324124202421423).

The spelling of 212022101201211 in words is "two hundred twelve trillion, twenty-two billion, one hundred one million, two hundred one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 14767 44301 103369 132903 310107 930321 227902091 683706273 1595314637 2051118819 4785943911 14357831733 3365430177797 10096290533391 23558011244579 30288871600173 70674033733737 212022101201211