Search a number
-
+
47313031 is a prime number
BaseRepresentation
bin1011010001111…
…1000010000111
310022000202021111
42310133002013
544103004111
64410025451
71113103603
oct264370207
9108022244
1047313031
1124785a87
1213a18287
139a5739c
1463d8503
154248a21
hex2d1f087

47313031 has 2 divisors, whose sum is σ = 47313032. Its totient is φ = 47313030.

The previous prime is 47313017. The next prime is 47313053. The reversal of 47313031 is 13031374.

It is a happy number.

47313031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (47313053) can be obtained adding 47313031 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 47313031 - 25 = 47312999 is a prime.

It is a super-2 number, since 2×473130312 = 4477045804813922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 47312993 and 47313011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47313131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23656515 + 23656516.

It is an arithmetic number, because the mean of its divisors is an integer number (23656516).

Almost surely, 247313031 is an apocalyptic number.

47313031 is a deficient number, since it is larger than the sum of its proper divisors (1).

47313031 is an equidigital number, since it uses as much as digits as its factorization.

47313031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 47313031 is about 6878.4468450370. The cubic root of 47313031 is about 361.6820234111.

The spelling of 47313031 in words is "forty-seven million, three hundred thirteen thousand, thirty-one".