Search a number
-
+
3133480037 is a prime number
BaseRepresentation
bin1011101011000101…
…0001110001100101
322002101012021112012
42322301101301211
522404132330122
61234533204005
7140436066212
oct27261216145
98071167465
103133480037
111368849a26
12735490605
133ac24accc
1421a230b09
1513515d7e2
hexbac51c65

3133480037 has 2 divisors, whose sum is σ = 3133480038. Its totient is φ = 3133480036.

The previous prime is 3133480027. The next prime is 3133480039. The reversal of 3133480037 is 7300843313.

3133480037 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., 2695582561 + 437897476 = 51919^2 + 20926^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133480037 - 212 = 3133475941 is a prime.

Together with 3133480039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3133479985 and 3133480012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133480039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566740018 + 1566740019.

It is an arithmetic number, because the mean of its divisors is an integer number (1566740019).

Almost surely, 23133480037 is an apocalyptic number.

It is an amenable number.

3133480037 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133480037 is an equidigital number, since it uses as much as digits as its factorization.

3133480037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 3133480037 is about 55977.4958085836. The cubic root of 3133480037 is about 1463.3301162347.

The spelling of 3133480037 in words is "three billion, one hundred thirty-three million, four hundred eighty thousand, thirty-seven".