Search a number
-
+
223101301011013 is a prime number
BaseRepresentation
bin110010101110100011010001…
…110010111011001001000101
31002020221021110021002101112001
4302232203101302323021011
5213220242431024323023
62110255153415225301
764664352135103165
oct6256432162731105
91066837407071461
10223101301011013
11650a58041aaa77
122103263a378231
1397644932b2439
143d142369005a5
151abd59bbe36ad
hexcae8d1cbb245

223101301011013 has 2 divisors, whose sum is σ = 223101301011014. Its totient is φ = 223101301011012.

The previous prime is 223101301010881. The next prime is 223101301011097. The reversal of 223101301011013 is 310110103101322.

223101301011013 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., 141100615302084 + 82000685708929 = 11878578^2 + 9055423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223101301011013 is a prime.

It is a super-3 number, since 3×2231013010110133 (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 (223101301011713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111550650505506 + 111550650505507.

It is an arithmetic number, because the mean of its divisors is an integer number (111550650505507).

Almost surely, 2223101301011013 is an apocalyptic number.

It is an amenable number.

223101301011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223101301011013 is an equidigital number, since it uses as much as digits as its factorization.

223101301011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 223101301011013 its reverse (310110103101322), we get a palindrome (533211404112335).

The spelling of 223101301011013 in words is "two hundred twenty-three trillion, one hundred one billion, three hundred one million, eleven thousand, thirteen".