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10320340110 = 23517163124147
BaseRepresentation
bin10011001110010001…
…11110010010001110
3222122020112121010220
421213020332102032
5132114001340420
64424024412210
7513514305063
oct114710762216
928566477126
1010320340110
114416621303
122000317066
13c8618a432
146dc90cc6a
15406088840
hex26723e48e

10320340110 has 64 divisors (see below), whose sum is σ = 26386912512. Its totient is φ = 2574291456.

The previous prime is 10320340103. The next prime is 10320340141. The reversal of 10320340110 is 1104302301.

10320340110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10320340110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21057 + ... + 145203.

It is an arithmetic number, because the mean of its divisors is an integer number (412295508).

Almost surely, 210320340110 is an apocalyptic number.

10320340110 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 10320340110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193456256).

10320340110 is an abundant number, since it is smaller than the sum of its proper divisors (16066572402).

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

10320340110 is a wasteful number, since it uses less digits than its factorization.

10320340110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124337.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10320340110 its reverse (1104302301), we get a palindrome (11424642411).

The spelling of 10320340110 in words is "ten billion, three hundred twenty million, three hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 163 170 255 326 489 510 815 978 1630 2445 2771 4890 5542 8313 13855 16626 27710 41565 83130 124147 248294 372441 620735 744882 1241470 1862205 2110499 3724410 4220998 6331497 10552495 12662994 20235961 21104990 31657485 40471922 60707883 63314970 101179805 121415766 202359610 303539415 344011337 607078830 688022674 1032034011 1720056685 2064068022 3440113370 5160170055 10320340110