Search a number
-
+
100322137 is a prime number
BaseRepresentation
bin1011111101011…
…00101101011001
320222202220002201
411332230231121
5201140302022
613542130201
72325503236
oct576545531
9228686081
10100322137
11516a1563
1229720961
1317a27316
14d47678d
158c1a127
hex5facb59

100322137 has 2 divisors, whose sum is σ = 100322138. Its totient is φ = 100322136.

The previous prime is 100322129. The next prime is 100322141. The reversal of 100322137 is 731223001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62425801 + 37896336 = 7901^2 + 6156^2 .

It is an emirp because it is prime and its reverse (731223001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100322137 - 23 = 100322129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100332137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50161068 + 50161069.

It is an arithmetic number, because the mean of its divisors is an integer number (50161069).

Almost surely, 2100322137 is an apocalyptic number.

It is an amenable number.

100322137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100322137 is an equidigital number, since it uses as much as digits as its factorization.

100322137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 100322137 is about 10016.0938993202. The cubic root of 100322137 is about 464.6567582976.

Adding to 100322137 its reverse (731223001), we get a palindrome (831545138).

The spelling of 100322137 in words is "one hundred million, three hundred twenty-two thousand, one hundred thirty-seven".