Search a number
-
+
103605241614 = 237382960727
BaseRepresentation
bin110000001111101011…
…0101000011100001110
3100220102102112120222220
41200133112220130032
53144140420212424
6115332351520210
710325302011000
oct1403726503416
9326372476886
10103605241614
113aa36504526
12180b5229066
139a017065c4
14502bbb6370
152a659d4579
hex181f5a870e

103605241614 has 64 divisors (see below), whose sum is σ = 241940352000. Its totient is φ = 29565303264.

The previous prime is 103605241561. The next prime is 103605241627. The reversal of 103605241614 is 416142506301.

It is a super-3 number, since 3×1036052416143 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675719 + ... + 1736445.

It is an arithmetic number, because the mean of its divisors is an integer number (3780318000).

Almost surely, 2103605241614 is an apocalyptic number.

103605241614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103605241614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120970176000).

103605241614 is an abundant number, since it is smaller than the sum of its proper divisors (138335110386).

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

103605241614 is an equidigital number, since it uses as much as digits as its factorization.

103605241614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61582 (or 61568 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 103605241614 its reverse (416142506301), we get a palindrome (519747747915).

The spelling of 103605241614 in words is "one hundred three billion, six hundred five million, two hundred forty-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 829 1029 1658 2058 2487 4974 5803 11606 17409 34818 40621 60727 81242 121454 121863 182181 243726 284347 364362 425089 568694 850178 853041 1275267 1706082 2550534 2975623 5951246 8926869 17853738 20829361 41658722 50342683 62488083 100685366 124976166 151028049 302056098 352398781 704797562 1057196343 2114392686 2466791467 4933582934 7400374401 14800748802 17267540269 34535080538 51802620807 103605241614