Search a number
-
+
13201102002000 = 2435311200016697
BaseRepresentation
bin1100000000011001111011…
…1111101101011101010000
31201202000100111101201022210
43000012132333231131100
53212241324103031000
644024300314232120
72531514420410253
oct300063677553520
951660314351283
1013201102002000
11422a612a23350
121592566425640
13749b213a9583
14338d1860709a
1517d5ce73a350
hexc019efed750

13201102002000 has 160 divisors (see below), whose sum is σ = 46429476073344. Its totient is φ = 3200267136000.

The previous prime is 13201102001999. The next prime is 13201102002041. The reversal of 13201102002000 is 20020110231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 99942349 + ... + 100074348.

Almost surely, 213201102002000 is an apocalyptic number.

13201102002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201102002000 is an abundant number, since it is smaller than the sum of its proper divisors (33228374071344).

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

13201102002000 is a wasteful number, since it uses less digits than its factorization.

13201102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200016734 (or 200016718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13201102002000 its reverse (20020110231), we get a palindrome (13221122112231).

The spelling of 13201102002000 in words is "thirteen trillion, two hundred one billion, one hundred two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 200016697 400033394 600050091 800066788 1000083485 1200100182 1600133576 2000166970 2200183667 2400200364 3000250455 3200267152 4000333940 4400367334 4800400728 5000417425 6000500910 6600551001 8000667880 8800734668 9600801456 10000834850 11000918335 12001001820 13201102002 15001252275 16001335760 17601469336 20001669700 22001836670 24002003640 25002087125 26402204004 30002504550 33002755005 35202938672 40003339400 44003673340 48004007280 50004174250 52804408008 55004591675 60005009100 66005510010 75006261375 80006678800 88007346680 100008348500 105608816016 110009183350 120010018200 132011020020 150012522750 165013775025 176014693360 200016697000 220018366700 240020036400 264022040040 275022958375 300025045500 330027550050 400033394000 440036733400 528044080080 550045916750 600050091000 660055100100 825068875125 880073466800 1100091833500 1200100182000 1320110200200 1650137750250 2200183667000 2640220400400 3300275500500 4400367334000 6600551001000 13201102002000