Search a number
-
+
222332013123001 is a prime number
BaseRepresentation
bin110010100011010110110100…
…101010100001010110111001
31002011012201210021012120220121
4302203112310222201112321
5213120141430324414001
62104505530010053241
764554646355665225
oct6243266452412671
91064181707176817
10222332013123001
1164929528251611
1220b2952541a221
139709a850bb1c2
143cc8cd93d1785
151aa8574ce16a1
hexca35b4aa15b9

222332013123001 has 2 divisors, whose sum is σ = 222332013123002. Its totient is φ = 222332013123000.

The previous prime is 222332013122983. The next prime is 222332013123007. The reversal of 222332013123001 is 100321310233222.

222332013123001 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., 194443474601401 + 27888538521600 = 13944299^2 + 5280960^2 .

It is a cyclic number.

It is not a de Polignac number, because 222332013123001 - 27 = 222332013122873 is a prime.

It is not a weakly prime, because it can be changed into another prime (222332013123007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111166006561500 + 111166006561501.

It is an arithmetic number, because the mean of its divisors is an integer number (111166006561501).

Almost surely, 2222332013123001 is an apocalyptic number.

It is an amenable number.

222332013123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222332013123001 is an equidigital number, since it uses as much as digits as its factorization.

222332013123001 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 222332013123001 its reverse (100321310233222), we get a palindrome (322653323356223).

The spelling of 222332013123001 in words is "two hundred twenty-two trillion, three hundred thirty-two billion, thirteen million, one hundred twenty-three thousand, one".