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101330034 = 231337687
BaseRepresentation
bin1100000101000…
…10110001110010
321001200002200020
412002202301302
5201420030114
614015504310
72340201561
oct602426162
9231602606
10101330034
115221a833
1229b28096
1317cbb000
14d659bd8
158d68aa9
hex60a2c72

101330034 has 32 divisors (see below), whose sum is σ = 219569280. Its totient is φ = 31174416.

The previous prime is 101330017. The next prime is 101330039. The reversal of 101330034 is 430033101.

It is a junction number, because it is equal to n+sod(n) for n = 101329995 and 101330022.

It is not an unprimeable number, because it can be changed into a prime (101330039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9339 + ... + 17025.

It is an arithmetic number, because the mean of its divisors is an integer number (6861540).

Almost surely, 2101330034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101330034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109784640).

101330034 is an abundant number, since it is smaller than the sum of its proper divisors (118239246).

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

101330034 is an equidigital number, since it uses as much as digits as its factorization.

101330034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 101330034 is about 10066.2820345945. The cubic root of 101330034 is about 466.2076505845.

Adding to 101330034 its reverse (430033101), we get a palindrome (531363135).

The spelling of 101330034 in words is "one hundred one million, three hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2197 4394 6591 7687 13182 15374 23061 46122 99931 199862 299793 599586 1299103 2598206 3897309 7794618 16888339 33776678 50665017 101330034