Search a number
-
+
310133133 = 32113304949
BaseRepresentation
bin10010011111000…
…100000110001101
3210121120101200100
4102133010012031
51113343230013
650435121313
710454042142
oct2237040615
9717511610
10310133133
1114a075682
1287a43239
134c33813b
142d2903c9
151c361473
hex127c418d

310133133 has 12 divisors (see below), whose sum is σ = 451935900. Its totient is φ = 204925056.

The previous prime is 310133113. The next prime is 310133147. The reversal of 310133133 is 331331013.

It can be written as a sum of positive squares in 2 ways, for example, as 19873764 + 290259369 = 4458^2 + 17037^2 .

It is a de Polignac number, because none of the positive numbers 2k-310133133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310133113) 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 in 11 ways as a sum of consecutive naturals, for example, 151458 + ... + 153491.

It is an arithmetic number, because the mean of its divisors is an integer number (37661325).

Almost surely, 2310133133 is an apocalyptic number.

It is an amenable number.

310133133 is a deficient number, since it is larger than the sum of its proper divisors (141802767).

310133133 is a wasteful number, since it uses less digits than its factorization.

310133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305068 (or 305065 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 310133133 is about 17610.5971789715. The cubic root of 310133133 is about 676.8868163723.

Adding to 310133133 its reverse (331331013), we get a palindrome (641464146).

The spelling of 310133133 in words is "three hundred ten million, one hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 113 339 1017 304949 914847 2744541 34459237 103377711 310133133