Search a number
-
+
10110137 is a prime number
BaseRepresentation
bin100110100100…
…010010111001
3201000122111112
4212210102321
510042011022
61000410105
7151635422
oct46442271
921018445
1010110137
115785994
123476935
13212ca3b
1414b2649
15d4a8e2
hex9a44b9

10110137 has 2 divisors, whose sum is σ = 10110138. Its totient is φ = 10110136.

The previous prime is 10110131. The next prime is 10110143. The reversal of 10110137 is 73101101.

It is a balanced prime because it is at equal distance from previous prime (10110131) and next prime (10110143).

It can be written as a sum of positive squares in only one way, i.e., 10106041 + 4096 = 3179^2 + 64^2 .

It is an emirp because it is prime and its reverse (73101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10110137 - 218 = 9847993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055068 + 5055069.

It is an arithmetic number, because the mean of its divisors is an integer number (5055069).

Almost surely, 210110137 is an apocalyptic number.

It is an amenable number.

10110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110137 is an equidigital number, since it uses as much as digits as its factorization.

10110137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 10110137 is about 3179.6441624811. The cubic root of 10110137 is about 216.2315261486.

Adding to 10110137 its reverse (73101101), we get a palindrome (83211238).

The spelling of 10110137 in words is "ten million, one hundred ten thousand, one hundred thirty-seven".