Search a number
-
+
1030133133 = 361413077
BaseRepresentation
bin111101011001101…
…001010110001101
32122210101012000000
4331121221112031
54102203230013
6250115154513
734345662411
oct7531512615
92583335000
101030133133
114895352a7
12248ba5a39
1313555a943
149ab52d41
1560684973
hex3d66958d

1030133133 has 14 divisors (see below), whose sum is σ = 1544494254. Its totient is φ = 686754936.

The previous prime is 1030133129. The next prime is 1030133141. The reversal of 1030133133 is 3313310301.

1030133133 is a `hidden beast` number, since 1 + 0 + 301 + 331 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 615684969 + 414448164 = 24813^2 + 20358^2 .

It is not a de Polignac number, because 1030133133 - 22 = 1030133129 is a prime.

It is a super-2 number, since 2×10301331332 = 2122348543408791378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030133633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 705810 + ... + 707267.

Almost surely, 21030133133 is an apocalyptic number.

It is an amenable number.

1030133133 is a deficient number, since it is larger than the sum of its proper divisors (514361121).

1030133133 is an frugal number, since it uses more digits than its factorization.

1030133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413095 (or 1413080 counting only the distinct ones).

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

The square root of 1030133133 is about 32095.6871401751. The cubic root of 1030133133 is about 1009.9451439017.

Adding to 1030133133 its reverse (3313310301), we get a palindrome (4343443434).

It can be divided in two parts, 10301 and 33133, that added together give a palindrome (43434).

The spelling of 1030133133 in words is "one billion, thirty million, one hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 243 729 1413077 4239231 12717693 38153079 114459237 343377711 1030133133