Search a number
-
+
12900760081000 = 2353113137832141
BaseRepresentation
bin1011101110111011000100…
…1110001101001001101000
31200200022010011002022010221
42323232301032031021220
53142331224040043000
643234305524415424
72501022601246441
oct273566116151150
950608104068127
1012900760081000
1141241aa81a810
121544306547574
137276c8792b5c
14328585cdc2c8
151758a203b61a
hexbbbb138d268

12900760081000 has 128 divisors (see below), whose sum is σ = 33994449515520. Its totient is φ = 4539856800000.

The previous prime is 12900760080973. The next prime is 12900760081007. The reversal of 12900760081000 is 18006700921.

It is a happy number.

It is a super-2 number, since 2×129007600810002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12900760081007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18575071 + ... + 19257070.

It is an arithmetic number, because the mean of its divisors is an integer number (265581636840).

Almost surely, 212900760081000 is an apocalyptic number.

12900760081000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12900760081000 is an abundant number, since it is smaller than the sum of its proper divisors (21093689434520).

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

12900760081000 is a wasteful number, since it uses less digits than its factorization.

12900760081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37832204 (or 37832190 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

Adding to 12900760081000 its reverse (18006700921), we get a palindrome (12918766781921).

The spelling of 12900760081000 in words is "twelve trillion, nine hundred billion, seven hundred sixty million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6820 7750 8525 11000 13640 15500 17050 31000 34100 42625 68200 85250 170500 341000 37832141 75664282 151328564 189160705 302657128 378321410 416153551 756642820 832307102 945803525 1172796371 1513285640 1664614204 1891607050 2080767755 2345592742 3329228408 3783214100 4161535510 4691185484 4729017625 5863981855 7566428200 8323071020 9382370968 9458035250 10403838775 11727963710 12900760081 16646142040 18916070500 20807677550 23455927420 25801520162 29319909275 37832141000 41615355100 46911854840 51603040324 52019193875 58639818550 64503800405 83230710200 103206080648 104038387750 117279637100 129007600810 146599546375 208076775500 234559274200 258015201620 293199092750 322519002025 416153551000 516030403240 586398185500 645038004050 1172796371000 1290076008100 1612595010125 2580152016200 3225190020250 6450380040500 12900760081000