Search a number
-
+
101120177 is a prime number
BaseRepresentation
bin1100000011011…
…11100010110001
321001021102210202
412001233202301
5201341321202
614011204545
72335336004
oct601574261
9231242722
10101120177
11520970a4
1229a46755
1317c46632
14d60353b
158d26802
hex606f8b1

101120177 has 2 divisors, whose sum is σ = 101120178. Its totient is φ = 101120176.

The previous prime is 101120153. The next prime is 101120221. The reversal of 101120177 is 771021101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55368481 + 45751696 = 7441^2 + 6764^2 .

It is an emirp because it is prime and its reverse (771021101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101120177 - 26 = 101120113 is a prime.

It is a super-2 number, since 2×1011201772 = 20450580393022658, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101120377) 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, 50560088 + 50560089.

It is an arithmetic number, because the mean of its divisors is an integer number (50560089).

Almost surely, 2101120177 is an apocalyptic number.

It is an amenable number.

101120177 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120177 is an equidigital number, since it uses as much as digits as its factorization.

101120177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 20.

The square root of 101120177 is about 10055.8528728298. The cubic root of 101120177 is about 465.8855856324.

Adding to 101120177 its reverse (771021101), we get a palindrome (872141278).

The spelling of 101120177 in words is "one hundred one million, one hundred twenty thousand, one hundred seventy-seven".