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130332153 = 37193141257
BaseRepresentation
bin1111100010010…
…11010111111001
3100002020120002210
413301023113321
5231331112103
620533245333
73141543060
oct761132771
9302216083
10130332153
1167629526
1237793849
1321003a23
14134491d7
15b696e03
hex7c4b5f9

130332153 has 64 divisors (see below), whose sum is σ = 221921280. Its totient is φ = 66355200.

The previous prime is 130332133. The next prime is 130332157. The reversal of 130332153 is 351233031.

It is not a de Polignac number, because 130332153 - 26 = 130332089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130332157) 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 63 ways as a sum of consecutive naturals, for example, 507001 + ... + 507257.

It is an arithmetic number, because the mean of its divisors is an integer number (3467520).

Almost surely, 2130332153 is an apocalyptic number.

It is an amenable number.

130332153 is a deficient number, since it is larger than the sum of its proper divisors (91589127).

130332153 is a wasteful number, since it uses less digits than its factorization.

130332153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 130332153 is about 11416.3108314376. The cubic root of 130332153 is about 507.0107759265.

Adding to 130332153 its reverse (351233031), we get a palindrome (481565184).

The spelling of 130332153 in words is "one hundred thirty million, three hundred thirty-two thousand, one hundred fifty-three".

Divisors: 1 3 7 19 21 31 41 57 93 123 133 217 257 287 399 589 651 771 779 861 1271 1767 1799 2337 3813 4123 4883 5397 5453 7967 8897 10537 12369 14649 16359 23901 24149 26691 31611 34181 55769 72447 73759 102543 151373 167307 169043 200203 221277 326647 454119 507129 600609 979941 1059611 1401421 2286529 3178833 4204263 6206293 6859587 18618879 43444051 130332153