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101330130 = 23511674583
BaseRepresentation
bin1100000101000…
…10110011010010
321001200002210210
412002202303102
5201420031010
614015504550
72340202056
oct602426322
9231602723
10101330130
115221a910
1229b28156
1317cbb075
14d659c66
158d68b20
hex60a2cd2

101330130 has 64 divisors (see below), whose sum is σ = 269319168. Its totient is φ = 24192960.

The previous prime is 101330123. The next prime is 101330179. The reversal of 101330130 is 31033101.

101330130 = T1892 + T1893 + ... + T1946.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19819 + ... + 24401.

It is an arithmetic number, because the mean of its divisors is an integer number (4208112).

Almost surely, 2101330130 is an apocalyptic number.

101330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101330130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134659584).

101330130 is an abundant number, since it is smaller than the sum of its proper divisors (167989038).

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

101330130 is a wasteful number, since it uses less digits than its factorization.

101330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 101330130 is about 10066.2868029875. The cubic root of 101330130 is about 466.2077978128.

Adding to 101330130 its reverse (31033101), we get a palindrome (132363231).

The spelling of 101330130 in words is "one hundred one million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 4583 7370 9166 11055 13749 22110 22915 27498 45830 50413 68745 100826 137490 151239 252065 302478 307061 504130 614122 756195 921183 1512390 1535305 1842366 3070610 3377671 4605915 6755342 9211830 10133013 16888355 20266026 33776710 50665065 101330130