Search a number
-
+
212220121022141 is a prime number
BaseRepresentation
bin110000010000001101011000…
…111011010111111010111101
31000211102001020010020200021112
4300100031120323113322331
5210304003301440202031
62031204324441011405
762462253302210261
oct6020153073277275
91024361203220245
10212220121022141
1161690058828071
121b975821183b65
13915536b76979b
143a59719ab00a1
1519804ebb0862b
hexc10358ed7ebd

212220121022141 has 2 divisors, whose sum is σ = 212220121022142. Its totient is φ = 212220121022140.

The previous prime is 212220121022137. The next prime is 212220121022269. The reversal of 212220121022141 is 141220121022212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212169696074116 + 50424948025 = 14566046^2 + 224555^2 .

It is a cyclic number.

It is not a de Polignac number, because 212220121022141 - 22 = 212220121022137 is a prime.

It is a super-2 number, since 2×2122201210221412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212220121022101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106110060511070 + 106110060511071.

It is an arithmetic number, because the mean of its divisors is an integer number (106110060511071).

Almost surely, 2212220121022141 is an apocalyptic number.

It is an amenable number.

212220121022141 is a deficient number, since it is larger than the sum of its proper divisors (1).

212220121022141 is an equidigital number, since it uses as much as digits as its factorization.

212220121022141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 212220121022141 its reverse (141220121022212), we get a palindrome (353440242044353).

The spelling of 212220121022141 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, one hundred forty-one".