Search a number
-
+
100443121 is a prime number
BaseRepresentation
bin1011111110010…
…10001111110001
321000000001001121
411333022033301
5201203134441
613544502241
72326516042
oct577121761
9230001047
10100443121
1151774449
122977a981
1317a6a3cc
14d4a88c9
158c40dd1
hex5fca3f1

100443121 has 2 divisors, whose sum is σ = 100443122. Its totient is φ = 100443120.

The previous prime is 100443103. The next prime is 100443127. The reversal of 100443121 is 121344001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 41460721 = 7680^2 + 6439^2 .

It is an emirp because it is prime and its reverse (121344001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100443121 - 29 = 100442609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100443095 and 100443104.

It is not a weakly prime, because it can be changed into another prime (100443127) 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, 50221560 + 50221561.

It is an arithmetic number, because the mean of its divisors is an integer number (50221561).

Almost surely, 2100443121 is an apocalyptic number.

It is an amenable number.

100443121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100443121 is an equidigital number, since it uses as much as digits as its factorization.

100443121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100443121 is about 10022.1315597033. The cubic root of 100443121 is about 464.8434683367.

Adding to 100443121 its reverse (121344001), we get a palindrome (221787122).

The spelling of 100443121 in words is "one hundred million, four hundred forty-three thousand, one hundred twenty-one".