Search a number
-
+
30013201321121 is a prime number
BaseRepresentation
bin1101101001011111111100…
…01101000000110010100001
310221021020022121022100121102
412310233332031000302201
512413214014014233441
6143455512505204145
76215245051642664
oct664577615006241
9127236277270542
1030013201321121
119621588780aa7
123448914490655
13139930443b675
1475a90a75d6db
15370aa3c4669b
hex1b4bfe340ca1

30013201321121 has 2 divisors, whose sum is σ = 30013201321122. Its totient is φ = 30013201321120.

The previous prime is 30013201321097. The next prime is 30013201321127. The reversal of 30013201321121 is 12112310231003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15461913722896 + 14551287598225 = 3932164^2 + 3814615^2 .

It is a cyclic number.

It is not a de Polignac number, because 30013201321121 - 218 = 30013201058977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30013201321093 and 30013201321102.

It is not a weakly prime, because it can be changed into another prime (30013201321127) 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, 15006600660560 + 15006600660561.

It is an arithmetic number, because the mean of its divisors is an integer number (15006600660561).

Almost surely, 230013201321121 is an apocalyptic number.

It is an amenable number.

30013201321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

30013201321121 is an equidigital number, since it uses as much as digits as its factorization.

30013201321121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 30013201321121 its reverse (12112310231003), we get a palindrome (42125511552124).

The spelling of 30013201321121 in words is "thirty trillion, thirteen billion, two hundred one million, three hundred twenty-one thousand, one hundred twenty-one".