Search a number
-
+
212221232301 = 3135992230001
BaseRepresentation
bin1100010110100101011…
…1110000010010101101
3202021210001200121111210
43011221113300102231
511434112113413201
6241254301305033
721222016465611
oct3055127602255
9667701617453
10212221232301
1182003397991
1235168565179
1317021263290
14a3b324b341
1557c13451d6
hex31695f04ad

212221232301 has 16 divisors (see below), whose sum is σ = 309892806720. Its totient is φ = 128384160000.

The previous prime is 212221232281. The next prime is 212221232303. The reversal of 212221232301 is 103232122212.

212221232301 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 212221232301 - 214 = 212221215917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221232303) 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, 46112700 + ... + 46117301.

It is an arithmetic number, because the mean of its divisors is an integer number (19368300420).

Almost surely, 2212221232301 is an apocalyptic number.

It is an amenable number.

212221232301 is a deficient number, since it is larger than the sum of its proper divisors (97671574419).

212221232301 is a wasteful number, since it uses less digits than its factorization.

212221232301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92230076.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212221232301 its reverse (103232122212), we get a palindrome (315453354513).

The spelling of 212221232301 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred thirty-two thousand, three hundred one".

Divisors: 1 3 13 39 59 177 767 2301 92230001 276690003 1198990013 3596970039 5441570059 16324710177 70740410767 212221232301