Search a number
-
+
222300312131123 is a prime number
BaseRepresentation
bin110010100010111001010011…
…001000110101011000110011
31002011002200221222012100100022
4302202321103020311120303
5213114132014401143443
62104443204211514055
764552444653003332
oct6242712310653063
91064080858170308
10222300312131123
116491703a928176
1220b233588b892b
139706aa24c0245
143cc756d0c3d19
151aa781bbb9e68
hexca2e53235633

222300312131123 has 2 divisors, whose sum is σ = 222300312131124. Its totient is φ = 222300312131122.

The previous prime is 222300312131099. The next prime is 222300312131143. The reversal of 222300312131123 is 321131213003222.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 222300312131123 - 218 = 222300311868979 is a prime.

It is a super-2 number, since 2×2223003121311232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222300312131092 and 222300312131101.

It is not a weakly prime, because it can be changed into another prime (222300312131143) 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, 111150156065561 + 111150156065562.

It is an arithmetic number, because the mean of its divisors is an integer number (111150156065562).

Almost surely, 2222300312131123 is an apocalyptic number.

222300312131123 is a deficient number, since it is larger than the sum of its proper divisors (1).

222300312131123 is an equidigital number, since it uses as much as digits as its factorization.

222300312131123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 222300312131123 its reverse (321131213003222), we get a palindrome (543431525134345).

The spelling of 222300312131123 in words is "two hundred twenty-two trillion, three hundred billion, three hundred twelve million, one hundred thirty-one thousand, one hundred twenty-three".