Search a number
-
+
106242201223241 is a prime number
BaseRepresentation
bin11000001010000001110000…
…101010100000000001001001
3111221011122200200012000210112
4120022001300222200001021
5102411133012003120431
61013542554330324105
731243513534113626
oct3012016052400111
9457148620160715
10106242201223241
1130941078953426
12baba54a289635
13473879a916805
141c3421576934d
15c4390ba72c2b
hex60a070aa0049

106242201223241 has 2 divisors, whose sum is σ = 106242201223242. Its totient is φ = 106242201223240.

The previous prime is 106242201223189. The next prime is 106242201223387. The reversal of 106242201223241 is 142322102242601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96099377574841 + 10142823648400 = 9803029^2 + 3184780^2 .

It is a cyclic number.

It is not a de Polignac number, because 106242201223241 - 210 = 106242201222217 is a prime.

It is a super-2 number, since 2×1062422012232412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106242201223198 and 106242201223207.

It is not a weakly prime, because it can be changed into another prime (106242201226241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53121100611620 + 53121100611621.

It is an arithmetic number, because the mean of its divisors is an integer number (53121100611621).

Almost surely, 2106242201223241 is an apocalyptic number.

It is an amenable number.

106242201223241 is a deficient number, since it is larger than the sum of its proper divisors (1).

106242201223241 is an equidigital number, since it uses as much as digits as its factorization.

106242201223241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 106242201223241 its reverse (142322102242601), we get a palindrome (248564303465842).

The spelling of 106242201223241 in words is "one hundred six trillion, two hundred forty-two billion, two hundred one million, two hundred twenty-three thousand, two hundred forty-one".