Search a number
-
+
13130244213024 = 2531918013997001
BaseRepresentation
bin1011111100010001111110…
…0010101100100100100000
31201111020110021222002012010
42333010133202230210200
53210111220004304044
643531541222032520
72523425456216151
oct277043742544440
951436407862163
1013130244213024
11420256160a774
121580890278740
1374323b3275a3
14335715b01928
1517b833b89bb9
hexbf11f8ac920

13130244213024 has 96 divisors (see below), whose sum is σ = 36301091924160. Its totient is φ = 4144089600000.

The previous prime is 13130244213019. The next prime is 13130244213049. The reversal of 13130244213024 is 42031244203131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13130244212982 and 13130244213000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1286524 + ... + 5283524.

It is an arithmetic number, because the mean of its divisors is an integer number (378136374210).

Almost surely, 213130244213024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130244213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150545962080).

13130244213024 is an abundant number, since it is smaller than the sum of its proper divisors (23170847711136).

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

13130244213024 is a wasteful number, since it uses less digits than its factorization.

13130244213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998834 (or 3998826 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13130244213024 its reverse (42031244203131), we get a palindrome (55161488416155).

The spelling of 13130244213024 in words is "thirteen trillion, one hundred thirty billion, two hundred forty-four million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1801 1824 3602 5403 7204 10806 14408 21612 28816 34219 43224 57632 68438 86448 102657 136876 172896 205314 273752 410628 547504 821256 1095008 1642512 3285024 3997001 7994002 11991003 15988004 23982006 31976008 47964012 63952016 75943019 95928024 127904032 151886038 191856048 227829057 303772076 383712096 455658114 607544152 911316228 1215088304 1822632456 2430176608 3645264912 7198598801 7290529824 14397197602 21595796403 28794395204 43191592806 57588790408 86383185612 115177580816 136773377219 172766371224 230355161632 273546754438 345532742448 410320131657 547093508876 691065484896 820640263314 1094187017752 1641280526628 2188374035504 3282561053256 4376748071008 6565122106512 13130244213024