Search a number
-
+
300031222123021 is a prime number
BaseRepresentation
bin100010000111000000111011…
…0011010101000101000001101
31110100022201000201212202211211
41010032001312122220220031
5303311202420330414041
62542040235102414421
7120124353244234564
oct10416016632505015
91410281021782754
10300031222123021
11876655880aa684
1229798089291411
13cb54a90a38c1c
1454138352ccbdb
1524a47798e3481
hex110e0766a8a0d

300031222123021 has 2 divisors, whose sum is σ = 300031222123022. Its totient is φ = 300031222123020.

The previous prime is 300031222122991. The next prime is 300031222123081. The reversal of 300031222123021 is 120321222130003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235008593400100 + 65022628722921 = 15329990^2 + 8063661^2 .

It is an emirp because it is prime and its reverse (120321222130003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300031222123021 - 27 = 300031222122893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300031222122983 and 300031222123001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300031222123081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150015611061510 + 150015611061511.

It is an arithmetic number, because the mean of its divisors is an integer number (150015611061511).

Almost surely, 2300031222123021 is an apocalyptic number.

It is an amenable number.

300031222123021 is a deficient number, since it is larger than the sum of its proper divisors (1).

300031222123021 is an equidigital number, since it uses as much as digits as its factorization.

300031222123021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 300031222123021 its reverse (120321222130003), we get a palindrome (420352444253024).

The spelling of 300031222123021 in words is "three hundred trillion, thirty-one billion, two hundred twenty-two million, one hundred twenty-three thousand, twenty-one".