Search a number
-
+
100112153 is a prime number
BaseRepresentation
bin1011111011110…
…01011100011001
320222101020001112
411331321130121
5201112042103
613533430105
72323640111
oct575713431
9228336045
10100112153
1151568819
122963b335
131798287b
14d420041
158bc7cd8
hex5f79719

100112153 has 2 divisors, whose sum is σ = 100112154. Its totient is φ = 100112152.

The previous prime is 100112141. The next prime is 100112161. The reversal of 100112153 is 351211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87459904 + 12652249 = 9352^2 + 3557^2 .

It is an emirp because it is prime and its reverse (351211001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100112153 - 28 = 100111897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100112953) 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, 50056076 + 50056077.

It is an arithmetic number, because the mean of its divisors is an integer number (50056077).

Almost surely, 2100112153 is an apocalyptic number.

It is an amenable number.

100112153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112153 is an equidigital number, since it uses as much as digits as its factorization.

100112153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 100112153 is about 10005.6060785941. The cubic root of 100112153 is about 464.3323412355.

Adding to 100112153 its reverse (351211001), we get a palindrome (451323154).

The spelling of 100112153 in words is "one hundred million, one hundred twelve thousand, one hundred fifty-three".