Search a number
-
+
223100322131413 is a prime number
BaseRepresentation
bin110010101110100010010111…
…011100110010110111010101
31002020221011221001011011011001
4302232202113130302313111
5213220233424431201123
62110254512330343301
764664315650545616
oct6256422734626725
91066834831134131
10223100322131413
11650a53516a2271
122103240658ab31
13976436855b63c
143d141828cdc0d
151abd540cd50ad
hexcae897732dd5

223100322131413 has 2 divisors, whose sum is σ = 223100322131414. Its totient is φ = 223100322131412.

The previous prime is 223100322131299. The next prime is 223100322131429. The reversal of 223100322131413 is 314131223001322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206730392246884 + 16369929884529 = 14378122^2 + 4045977^2 .

It is a cyclic number.

It is not a de Polignac number, because 223100322131413 - 29 = 223100322130901 is a prime.

It is a super-3 number, since 3×2231003221314133 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223100322131443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111550161065706 + 111550161065707.

It is an arithmetic number, because the mean of its divisors is an integer number (111550161065707).

Almost surely, 2223100322131413 is an apocalyptic number.

It is an amenable number.

223100322131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

223100322131413 is an equidigital number, since it uses as much as digits as its factorization.

223100322131413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 223100322131413 its reverse (314131223001322), we get a palindrome (537231545132735).

The spelling of 223100322131413 in words is "two hundred twenty-three trillion, one hundred billion, three hundred twenty-two million, one hundred thirty-one thousand, four hundred thirteen".