Search a number
-
+
3131302121 is a prime number
BaseRepresentation
bin1011101010100011…
…1110000011101001
322002020002121222122
42322220332003221
522403103131441
61234414401025
7140411425463
oct27250760351
98066077878
103131302121
1113675a16a2
12734800175
133ab9678bc
14219c25133
15134d7d34b
hexbaa3e0e9

3131302121 has 2 divisors, whose sum is σ = 3131302122. Its totient is φ = 3131302120.

The previous prime is 3131302099. The next prime is 3131302127. The reversal of 3131302121 is 1212031313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1917476521 + 1213825600 = 43789^2 + 34840^2 .

It is an emirp because it is prime and its reverse (1212031313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3131302121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131302121.

It is not a weakly prime, because it can be changed into another prime (3131302127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565651060 + 1565651061.

It is an arithmetic number, because the mean of its divisors is an integer number (1565651061).

Almost surely, 23131302121 is an apocalyptic number.

It is an amenable number.

3131302121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131302121 is an equidigital number, since it uses as much as digits as its factorization.

3131302121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3131302121 is about 55958.0389309704. The cubic root of 3131302121 is about 1462.9910099061.

Adding to 3131302121 its reverse (1212031313), we get a palindrome (4343333434).

The spelling of 3131302121 in words is "three billion, one hundred thirty-one million, three hundred two thousand, one hundred twenty-one".