Search a number
-
+
223122311351141 is a prime number
BaseRepresentation
bin110010101110110110110110…
…000111000000101101100101
31002021000021200111202020212112
4302232312312013000231211
5213221113443201214031
62110312550315530405
764666024606045136
oct6256666607005545
91067007614666775
10223122311351141
1165103705a75534
1221036722759a05
1397664610a7867
143d1526b065c8d
151abddcb4d462b
hexcaedb61c0b65

223122311351141 has 2 divisors, whose sum is σ = 223122311351142. Its totient is φ = 223122311351140.

The previous prime is 223122311351131. The next prime is 223122311351167. The reversal of 223122311351141 is 141153113221322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115737361096900 + 107384950254241 = 10758130^2 + 10362671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223122311351141 is a prime.

It is a super-3 number, since 3×2231223113511413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223122311351098 and 223122311351107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223122311351131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561155675570 + 111561155675571.

It is an arithmetic number, because the mean of its divisors is an integer number (111561155675571).

Almost surely, 2223122311351141 is an apocalyptic number.

It is an amenable number.

223122311351141 is a deficient number, since it is larger than the sum of its proper divisors (1).

223122311351141 is an equidigital number, since it uses as much as digits as its factorization.

223122311351141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 32.

Adding to 223122311351141 its reverse (141153113221322), we get a palindrome (364275424572463).

The spelling of 223122311351141 in words is "two hundred twenty-three trillion, one hundred twenty-two billion, three hundred eleven million, three hundred fifty-one thousand, one hundred forty-one".