Search a number
-
+
130540033 = 1337271393
BaseRepresentation
bin1111100011111…
…10001000000001
3100002122010021001
413301332020001
5231404240113
620541532001
73143400121
oct761761001
9302563231
10130540033
1167760728
1237874001
1321077530
14134a0c81
15b6d87dd
hex7c7e201

130540033 has 8 divisors (see below), whose sum is σ = 144381608. Its totient is φ = 117241344.

The previous prime is 130540031. The next prime is 130540097. The reversal of 130540033 is 330045031.

It can be written as a sum of positive squares in 4 ways, for example, as 5726449 + 124813584 = 2393^2 + 11172^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130540033 - 21 = 130540031 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130540031) 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 7 ways as a sum of consecutive naturals, for example, 135216 + ... + 136177.

It is an arithmetic number, because the mean of its divisors is an integer number (18047701).

Almost surely, 2130540033 is an apocalyptic number.

130540033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130540033 is a deficient number, since it is larger than the sum of its proper divisors (13841575).

130540033 is a wasteful number, since it uses less digits than its factorization.

130540033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271443.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 130540033 is about 11425.4117212466. The cubic root of 130540033 is about 507.2801937458.

Adding to 130540033 its reverse (330045031), we get a palindrome (460585064).

The spelling of 130540033 in words is "one hundred thirty million, five hundred forty thousand, thirty-three".

Divisors: 1 13 37 481 271393 3528109 10041541 130540033