Search a number
-
+
31590133 is a prime number
BaseRepresentation
bin111100010000…
…0011011110101
32012102221111221
41320200123311
531041341013
63045030341
7532340341
oct170403365
965387457
1031590133
1116917153
12a6b53b1
1367109b3
1442a4621
152b9008d
hex1e206f5

31590133 has 2 divisors, whose sum is σ = 31590134. Its totient is φ = 31590132.

The previous prime is 31590121. The next prime is 31590137. The reversal of 31590133 is 33109513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31102929 + 487204 = 5577^2 + 698^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31590133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31590098 and 31590107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31590137) 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, 15795066 + 15795067.

It is an arithmetic number, because the mean of its divisors is an integer number (15795067).

Almost surely, 231590133 is an apocalyptic number.

It is an amenable number.

31590133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31590133 is an equidigital number, since it uses as much as digits as its factorization.

31590133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 25.

The square root of 31590133 is about 5620.5100302375. The cubic root of 31590133 is about 316.1189165482.

Adding to 31590133 its reverse (33109513), we get a palindrome (64699646).

The spelling of 31590133 in words is "thirty-one million, five hundred ninety thousand, one hundred thirty-three".