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130020003 = 32431911759
BaseRepresentation
bin1111011111111…
…11001010100011
3100001122200220200
413233333022203
5231241120003
620522440243
73136103031
oct757771243
9301580820
10130020003
1167435a53
1237663083
1320c24919
14133a7551
15b6346a3
hex7bff2a3

130020003 has 24 divisors (see below), whose sum is σ = 193290240. Its totient is φ = 84173040.

The previous prime is 130019977. The next prime is 130020013. The reversal of 130020003 is 300020031.

It is a happy number.

It is not a de Polignac number, because 130020003 - 217 = 129888931 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (130020013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73038 + ... + 74796.

It is an arithmetic number, because the mean of its divisors is an integer number (8053760).

Almost surely, 2130020003 is an apocalyptic number.

130020003 is a deficient number, since it is larger than the sum of its proper divisors (63270237).

130020003 is a wasteful number, since it uses less digits than its factorization.

130020003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130020003 is about 11402.6314068289. The cubic root of 130020003 is about 506.6056829206.

Adding to 130020003 its reverse (300020031), we get a palindrome (430040034).

The spelling of 130020003 in words is "one hundred thirty million, twenty thousand, three".

Divisors: 1 3 9 43 129 191 387 573 1719 1759 5277 8213 15831 24639 73917 75637 226911 335969 680733 1007907 3023721 14446667 43340001 130020003