Search a number
-
+
106201330121 is a prime number
BaseRepresentation
bin110001011101000010…
…1111011000111001001
3101011010100112112221002
41202322011323013021
53220000020030441
6120442131024345
710446524261105
oct1427205730711
9334110475832
10106201330121
1141048978217
12186ba73b0b5
13a02650a053
1451d68ba905
152b68890b9b
hex18ba17b1c9

106201330121 has 2 divisors, whose sum is σ = 106201330122. Its totient is φ = 106201330120.

The previous prime is 106201330097. The next prime is 106201330159. The reversal of 106201330121 is 121033102601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70894920121 + 35306410000 = 266261^2 + 187900^2 .

It is a cyclic number.

It is not a de Polignac number, because 106201330121 - 26 = 106201330057 is a prime.

It is a super-2 number, since 2×1062013301212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106201330093 and 106201330102.

It is not a weakly prime, because it can be changed into another prime (106201330021) 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 as a sum of consecutive naturals, namely, 53100665060 + 53100665061.

It is an arithmetic number, because the mean of its divisors is an integer number (53100665061).

Almost surely, 2106201330121 is an apocalyptic number.

It is an amenable number.

106201330121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106201330121 is an equidigital number, since it uses as much as digits as its factorization.

106201330121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 106201330121 its reverse (121033102601), we get a palindrome (227234432722).

The spelling of 106201330121 in words is "one hundred six billion, two hundred one million, three hundred thirty thousand, one hundred twenty-one".