Search a number
-
+
106110202841 is a prime number
BaseRepresentation
bin110001011010010101…
…0010011001111011001
3101010220000001210210122
41202310222103033121
53214303202442331
6120425113523025
710444336561646
oct1426452231731
9333800053718
10106110202841
1141001496a15
1218694113475
13a010681c96
1451c8758dcd
152b6089017b
hex18b4a933d9

106110202841 has 2 divisors, whose sum is σ = 106110202842. Its totient is φ = 106110202840.

The previous prime is 106110202837. The next prime is 106110202843. The reversal of 106110202841 is 148202011601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62448010816 + 43662192025 = 249896^2 + 208955^2 .

It is a cyclic number.

It is not a de Polignac number, because 106110202841 - 22 = 106110202837 is a prime.

It is a super-4 number, since 4×1061102028414 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 106110202843, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106110202841.

It is not a weakly prime, because it can be changed into another prime (106110202843) 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, 53055101420 + 53055101421.

It is an arithmetic number, because the mean of its divisors is an integer number (53055101421).

Almost surely, 2106110202841 is an apocalyptic number.

It is an amenable number.

106110202841 is a deficient number, since it is larger than the sum of its proper divisors (1).

106110202841 is an equidigital number, since it uses as much as digits as its factorization.

106110202841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 106110202841 in words is "one hundred six billion, one hundred ten million, two hundred two thousand, eight hundred forty-one".