Search a number
-
+
3131403643541 is a prime number
BaseRepresentation
bin101101100100010110001…
…100111010101010010101
3102002100200220102000000202
4231210112030322222111
5402301103313043131
610354314051350245
7442144046540465
oct55442614725225
912070626360022
103131403643541
11aa80257a2a98
12426a788b2385
131993a045a734
14ab7bc981ba5
15566c591bbcb
hex2d91633aa95

3131403643541 has 2 divisors, whose sum is σ = 3131403643542. Its totient is φ = 3131403643540.

The previous prime is 3131403643513. The next prime is 3131403643561. The reversal of 3131403643541 is 1453463041313.

3131403643541 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., 3129877569316 + 1526074225 = 1769146^2 + 39065^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131403643541 - 234 = 3114223774357 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3131403643495 and 3131403643504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131403643561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565701821770 + 1565701821771.

It is an arithmetic number, because the mean of its divisors is an integer number (1565701821771).

Almost surely, 23131403643541 is an apocalyptic number.

It is an amenable number.

3131403643541 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131403643541 is an equidigital number, since it uses as much as digits as its factorization.

3131403643541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 38.

Adding to 3131403643541 its reverse (1453463041313), we get a palindrome (4584866684854).

The spelling of 3131403643541 in words is "three trillion, one hundred thirty-one billion, four hundred three million, six hundred forty-three thousand, five hundred forty-one".