Search a number
-
+
220121212021201 is a prime number
BaseRepresentation
bin110010000011001011110110…
…101001100110100111010001
31001212101101022201220020020201
4302003023312221212213101
5212322431220234134301
62100054142213535201
764236142556455351
oct6203136651464721
91055341281806221
10220121212021201
1164156977701a17
1220830b70644501
1395a945889cc8a
143c4dcd0166b61
151a6acd04dd201
hexc832f6a669d1

220121212021201 has 2 divisors, whose sum is σ = 220121212021202. Its totient is φ = 220121212021200.

The previous prime is 220121212021187. The next prime is 220121212021303. The reversal of 220121212021201 is 102120212121022.

220121212021201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156698321126400 + 63422890894801 = 12517920^2 + 7963849^2 .

It is a cyclic number.

It is not a de Polignac number, because 220121212021201 - 241 = 217922188765649 is a prime.

It is not a weakly prime, because it can be changed into another prime (220121212021801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110060606010600 + 110060606010601.

It is an arithmetic number, because the mean of its divisors is an integer number (110060606010601).

Almost surely, 2220121212021201 is an apocalyptic number.

It is an amenable number.

220121212021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

220121212021201 is an equidigital number, since it uses as much as digits as its factorization.

220121212021201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220121212021201 its reverse (102120212121022), we get a palindrome (322241424142223).

The spelling of 220121212021201 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred twelve million, twenty-one thousand, two hundred one".