Search a number
-
+
101707813 is a prime number
BaseRepresentation
bin1100000111111…
…11000000100101
321002101021220001
412003333000211
5202014122223
614031541301
72343334144
oct603770045
9232337801
10101707813
1152458649
122a08a831
13180c0c4c
14d71775b
158de09ad
hex60ff025

101707813 has 2 divisors, whose sum is σ = 101707814. Its totient is φ = 101707812.

The previous prime is 101707789. The next prime is 101707861. The reversal of 101707813 is 318707101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94128804 + 7579009 = 9702^2 + 2753^2 .

It is an emirp because it is prime and its reverse (318707101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101707813 - 29 = 101707301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101707883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50853906 + 50853907.

It is an arithmetic number, because the mean of its divisors is an integer number (50853907).

Almost surely, 2101707813 is an apocalyptic number.

It is an amenable number.

101707813 is a deficient number, since it is larger than the sum of its proper divisors (1).

101707813 is an equidigital number, since it uses as much as digits as its factorization.

101707813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 101707813 is about 10085.0291521641. The cubic root of 101707813 is about 466.7863044170.

The spelling of 101707813 in words is "one hundred one million, seven hundred seven thousand, eight hundred thirteen".