Search a number
-
+
106208426161 is a prime number
BaseRepresentation
bin110001011101010000…
…0111111100010110001
3101011010211220001212101
41202322200333202301
53220003324114121
6120442543100401
710446641504215
oct1427240774261
9334124801771
10106208426161
1141051984612
1218700ba1701
13a027b22ba6
1451d7806945
152b692e3491
hex18ba83f8b1

106208426161 has 2 divisors, whose sum is σ = 106208426162. Its totient is φ = 106208426160.

The previous prime is 106208426141. The next prime is 106208426227. The reversal of 106208426161 is 161624802601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85459752225 + 20748673936 = 292335^2 + 144044^2 .

It is an emirp because it is prime and its reverse (161624802601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106208426161 - 215 = 106208393393 is a prime.

It is a super-2 number, since 2×1062084261612 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106208426161.

It is not a weakly prime, because it can be changed into another prime (106208426141) 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, 53104213080 + 53104213081.

It is an arithmetic number, because the mean of its divisors is an integer number (53104213081).

Almost surely, 2106208426161 is an apocalyptic number.

It is an amenable number.

106208426161 is a deficient number, since it is larger than the sum of its proper divisors (1).

106208426161 is an equidigital number, since it uses as much as digits as its factorization.

106208426161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 106208426161 in words is "one hundred six billion, two hundred eight million, four hundred twenty-six thousand, one hundred sixty-one".