Search a number
-
+
223002031312321 is a prime number
BaseRepresentation
bin110010101101000110110100…
…110111000100110111000001
31002020120210012222122012022221
4302231012310313010313001
5213212131130003443241
62110141415141131041
764654236136431052
oct6255066467046701
91066523188565287
10223002031312321
11650676a3030078
12210173550b9a81
139758002b91261
143d0d4da864729
151ababdbb645d1
hexcad1b4dc4dc1

223002031312321 has 2 divisors, whose sum is σ = 223002031312322. Its totient is φ = 223002031312320.

The previous prime is 223002031312187. The next prime is 223002031312367. The reversal of 223002031312321 is 123213130200322.

223002031312321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170836297230096 + 52165734082225 = 13070436^2 + 7222585^2 .

It is a cyclic number.

It is not a de Polignac number, because 223002031312321 - 221 = 223002029215169 is a prime.

It is not a weakly prime, because it can be changed into another prime (223002031310321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111501015656160 + 111501015656161.

It is an arithmetic number, because the mean of its divisors is an integer number (111501015656161).

Almost surely, 2223002031312321 is an apocalyptic number.

It is an amenable number.

223002031312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

223002031312321 is an equidigital number, since it uses as much as digits as its factorization.

223002031312321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 223002031312321 its reverse (123213130200322), we get a palindrome (346215161512643).

The spelling of 223002031312321 in words is "two hundred twenty-three trillion, two billion, thirty-one million, three hundred twelve thousand, three hundred twenty-one".