Search a number
-
+
3130113101 is a prime number
BaseRepresentation
bin1011101010010001…
…1011110001001101
322002010212012221212
42322210123301031
522402302104401
61234333104205
7140365344113
oct27244336115
98063765855
103130113101
11136695a335
12734328065
133ab63c63b
142199d5ab3
15134be5dbb
hexba91bc4d

3130113101 has 2 divisors, whose sum is σ = 3130113102. Its totient is φ = 3130113100.

The previous prime is 3130113089. The next prime is 3130113109. The reversal of 3130113101 is 1013110313.

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., 2585824201 + 544288900 = 50851^2 + 23330^2 .

It is an emirp because it is prime and its reverse (1013110313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3130113101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3130113109) 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, 1565056550 + 1565056551.

It is an arithmetic number, because the mean of its divisors is an integer number (1565056551).

Almost surely, 23130113101 is an apocalyptic number.

It is an amenable number.

3130113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3130113101 is an equidigital number, since it uses as much as digits as its factorization.

3130113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 3130113101 is about 55947.4137114487. The cubic root of 3130113101 is about 1462.8058105090.

Adding to 3130113101 its reverse (1013110313), we get a palindrome (4143223414).

The spelling of 3130113101 in words is "three billion, one hundred thirty million, one hundred thirteen thousand, one hundred one".