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130133003 = 71113130003
BaseRepresentation
bin1111100000110…
…10110000001011
3100001212102220212
413300122300023
5231303224003
620525111335
73140053340
oct760326013
9301772825
10130133003
1167502940
12376b854b
1320c641a0
14133d67c7
15b657dd8
hex7c1ac0b

130133003 has 16 divisors (see below), whose sum is σ = 174725376. Its totient is φ = 93601440.

The previous prime is 130132999. The next prime is 130133077. The reversal of 130133003 is 300331031.

It is a cyclic number.

It is not a de Polignac number, because 130133003 - 22 = 130132999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130133203) 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 15 ways as a sum of consecutive naturals, for example, 64001 + ... + 66002.

It is an arithmetic number, because the mean of its divisors is an integer number (10920336).

Almost surely, 2130133003 is an apocalyptic number.

130133003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130133003 is a deficient number, since it is larger than the sum of its proper divisors (44592373).

130133003 is a wasteful number, since it uses less digits than its factorization.

130133003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130034.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 130133003 is about 11407.5853273162. The cubic root of 130133003 is about 506.7524035908.

Adding to 130133003 its reverse (300331031), we get a palindrome (430464034).

The spelling of 130133003 in words is "one hundred thirty million, one hundred thirty-three thousand, three".

Divisors: 1 7 11 13 77 91 143 1001 130003 910021 1430033 1690039 10010231 11830273 18590429 130133003