Search a number
-
+
13203232003000 = 2353133672767393
BaseRepresentation
bin1100000000100001110111…
…1101000001001110111000
31201202012211221100222101201
43000020131331001032320
53212310204343044000
644025251523423544
72531621253205564
oct300103575011670
951665757328351
1013203232003000
114230506292656
121592a5b824bb4
1374a0a076c9b0
1433907b4626a4
1517d6a672b96a
hexc021df413b8

13203232003000 has 128 divisors (see below), whose sum is σ = 33362816497920. Its totient is φ = 4861754265600.

The previous prime is 13203232002991. The next prime is 13203232003043. The reversal of 13203232003000 is 30023230231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3387304 + ... + 6154696.

It is an arithmetic number, because the mean of its divisors is an integer number (260647003890).

Almost surely, 213203232003000 is an apocalyptic number.

13203232003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203232003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681408248960).

13203232003000 is an abundant number, since it is smaller than the sum of its proper divisors (20159584494920).

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

13203232003000 is a wasteful number, since it uses less digits than its factorization.

13203232003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767794 (or 2767780 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 13203232003000 its reverse (30023230231), we get a palindrome (13233255233231).

The spelling of 13203232003000 in words is "thirteen trillion, two hundred three billion, two hundred thirty-two million, three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 367 500 520 650 734 1000 1300 1468 1625 1835 2600 2936 3250 3670 4771 6500 7340 9175 9542 13000 14680 18350 19084 23855 36700 38168 45875 47710 73400 91750 95420 119275 183500 190840 238550 367000 477100 596375 954200 1192750 2385500 2767393 4771000 5534786 11069572 13836965 22139144 27673930 35976109 55347860 69184825 71952218 110695720 138369650 143904436 179880545 276739300 287808872 345924125 359761090 553478600 691848250 719522180 899402725 1015633231 1383696500 1439044360 1798805450 2031266462 2767393000 3597610900 4062532924 4497013625 5078166155 7195221800 8125065848 8994027250 10156332310 13203232003 17988054500 20312664620 25390830775 26406464006 35976109000 40625329240 50781661550 52812928012 66016160015 101563323100 105625856024 126954153875 132032320030 203126646200 253908307750 264064640060 330080800075 507816615500 528129280120 660161600150 1015633231000 1320323200300 1650404000375 2640646400600 3300808000750 6601616001500 13203232003000