Search a number
-
+
106512210121 is a prime number
BaseRepresentation
bin110001100110010011…
…1110101100011001001
3101011221000111220010011
41203030213311203021
53221114111210441
6120533034151521
710460320563562
oct1431447654311
9334830456104
10106512210121
1141198402a39
12187868825a1
13a075a47105
145225cc3169
152b85ced581
hex18cc9f58c9

106512210121 has 2 divisors, whose sum is σ = 106512210122. Its totient is φ = 106512210120.

The previous prime is 106512210107. The next prime is 106512210221. The reversal of 106512210121 is 121012215601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100745934025 + 5766276096 = 317405^2 + 75936^2 .

It is a cyclic number.

It is not a de Polignac number, because 106512210121 - 217 = 106512079049 is a prime.

It is a super-2 number, since 2×1065122101212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106512210092 and 106512210101.

It is not a weakly prime, because it can be changed into another prime (106512210221) 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, 53256105060 + 53256105061.

It is an arithmetic number, because the mean of its divisors is an integer number (53256105061).

Almost surely, 2106512210121 is an apocalyptic number.

It is an amenable number.

106512210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106512210121 is an equidigital number, since it uses as much as digits as its factorization.

106512210121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 106512210121 its reverse (121012215601), we get a palindrome (227524425722).

The spelling of 106512210121 in words is "one hundred six billion, five hundred twelve million, two hundred ten thousand, one hundred twenty-one".