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130106310 = 23531713681
BaseRepresentation
bin1111100000101…
…00001111000110
3100001211002022020
413300110033012
5231301400220
620524344010
73136612455
oct760241706
9301732266
10130106310
1167494884
12376a5006
1320c54ca9
14133cab9c
15b650040
hex7c143c6

130106310 has 32 divisors (see below), whose sum is σ = 313263072. Its totient is φ = 34583040.

The previous prime is 130106303. The next prime is 130106311. The reversal of 130106310 is 13601031.

It is a super-2 number, since 2×1301063102 = 33855303803632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130106310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130106311) 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, 2670 + ... + 16350.

It is an arithmetic number, because the mean of its divisors is an integer number (9789471).

Almost surely, 2130106310 is an apocalyptic number.

130106310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130106310 is an abundant number, since it is smaller than the sum of its proper divisors (183156762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130106310 is a wasteful number, since it uses less digits than its factorization.

130106310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14008.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 130106310 is about 11406.4153001721. The cubic root of 130106310 is about 506.7177527167.

Adding to 130106310 its reverse (13601031), we get a palindrome (143707341).

The spelling of 130106310 in words is "one hundred thirty million, one hundred six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 317 634 951 1585 1902 3170 4755 9510 13681 27362 41043 68405 82086 136810 205215 410430 4336877 8673754 13010631 21684385 26021262 43368770 65053155 130106310