Search a number
-
+
13023032313000 = 233536171164111
BaseRepresentation
bin1011110110000010100100…
…1101110000010010101000
31201002222201111212020222010
42331200221031300102220
53201332132233004000
643410410510555520
72512611611132103
oct275405115602250
951088644766863
1013023032313000
11417104525a416
121563b4b208ba0
137360b364c2a8
14330464d2573a
15178b5b72ad50
hexbd8293704a8

13023032313000 has 128 divisors (see below), whose sum is σ = 41297957475840. Its totient is φ = 3415877280000.

The previous prime is 13023032312999. The next prime is 13023032313007. The reversal of 13023032313000 is 31323032031.

It is not an unprimeable number, because it can be changed into a prime (13023032313007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35399056 + ... + 35765055.

It is an arithmetic number, because the mean of its divisors is an integer number (322640292780).

Almost surely, 213023032313000 is an apocalyptic number.

13023032313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023032313000 is an abundant number, since it is smaller than the sum of its proper divisors (28274925162840).

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

13023032313000 is a wasteful number, since it uses less digits than its factorization.

13023032313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71164196 (or 71164182 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13023032313000 its reverse (31323032031), we get a palindrome (13054355345031).

The spelling of 13023032313000 in words is "thirteen trillion, twenty-three billion, thirty-two million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 125 150 183 200 244 250 300 305 366 375 488 500 600 610 732 750 915 1000 1220 1464 1500 1525 1830 2440 3000 3050 3660 4575 6100 7320 7625 9150 12200 15250 18300 22875 30500 36600 45750 61000 91500 183000 71164111 142328222 213492333 284656444 355820555 426984666 569312888 711641110 853969332 1067461665 1423282220 1707938664 1779102775 2134923330 2846564440 3558205550 4269846660 4341010771 5337308325 7116411100 8539693320 8682021542 8895513875 10674616650 13023032313 14232822200 17364043084 17791027750 21349233300 21705053855 26046064626 26686541625 34728086168 35582055500 42698466600 43410107710 52092129252 53373083250 65115161565 71164111000 86820215420 104184258504 106746166500 108525269275 130230323130 173640430840 213492333000 217050538550 260460646260 325575807825 434101077100 520921292520 542626346375 651151615650 868202154200 1085252692750 1302303231300 1627879039125 2170505385500 2604606462600 3255758078250 4341010771000 6511516156500 13023032313000