Search a number
-
+
101123223197 is a prime number
BaseRepresentation
bin101111000101101101…
…0011110111010011101
3100200000110011222210212
41132023122132322131
53124100021120242
6114242205342205
710206633133463
oct1361332367235
9320013158725
10101123223197
1139982472337
1217721b67965
1396c7431959
144c742c6833
15296cb5b782
hex178b69ee9d

101123223197 has 2 divisors, whose sum is σ = 101123223198. Its totient is φ = 101123223196.

The previous prime is 101123223151. The next prime is 101123223241. The reversal of 101123223197 is 791322321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53199883801 + 47923339396 = 230651^2 + 218914^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123223197 - 216 = 101123157661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101123223127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561611598 + 50561611599.

It is an arithmetic number, because the mean of its divisors is an integer number (50561611599).

Almost surely, 2101123223197 is an apocalyptic number.

It is an amenable number.

101123223197 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123223197 is an equidigital number, since it uses as much as digits as its factorization.

101123223197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

Adding to 101123223197 its reverse (791322321101), we get a palindrome (892445544298).

The spelling of 101123223197 in words is "one hundred one billion, one hundred twenty-three million, two hundred twenty-three thousand, one hundred ninety-seven".