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13003233220000 = 25541973300313
BaseRepresentation
bin1011110100111000110100…
…0110001101010110100000
31201001002121200101010022101
42331032031012031112200
53201021110201020000
643353334115420144
72511311145460642
oct275161506152640
951032550333271
1013003233220000
114163705182841
1215601445b4654
1373427978874a
1432d5075ba892
1517839d447e6a
hexbd38d18d5a0

13003233220000 has 120 divisors (see below), whose sum is σ = 32152299248916. Its totient is φ = 5174889216000.

The previous prime is 13003233219983. The next prime is 13003233220051. The reversal of 13003233220000 is 2233230031.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 711505746064 + 12291727473936 = 843508^2 + 3505956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13003233220000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2289844 + ... + 5590156.

Almost surely, 213003233220000 is an apocalyptic number.

13003233220000 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 13003233220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076149624458).

13003233220000 is an abundant number, since it is smaller than the sum of its proper divisors (19149066028916).

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

13003233220000 is an equidigital number, since it uses as much as digits as its factorization.

13003233220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300540 (or 3300517 counting only the distinct ones).

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

Adding to 13003233220000 its reverse (2233230031), we get a palindrome (13005466450031).

The spelling of 13003233220000 in words is "thirteen trillion, three billion, two hundred thirty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 625 788 800 985 1000 1250 1576 1970 2000 2500 3152 3940 4000 4925 5000 6304 7880 9850 10000 15760 19700 20000 24625 31520 39400 49250 78800 98500 123125 157600 197000 246250 394000 492500 788000 985000 1970000 3300313 3940000 6600626 13201252 16501565 26402504 33003130 52805008 66006260 82507825 105610016 132012520 165015650 264025040 330031300 412539125 528050080 650161661 660062600 825078250 1300323322 1320125200 1650156500 2062695625 2600646644 2640250400 3250808305 3300313000 4125391250 5201293288 6501616610 6600626000 8250782500 10402586576 13003233220 13201252000 16254041525 16501565000 20805173152 26006466440 32508083050 33003130000 52012932880 65016166100 66006260000 81270207625 104025865760 130032332200 162540415250 260064664400 325080830500 406351038125 520129328800 650161661000 812702076250 1300323322000 1625404152500 2600646644000 3250808305000 6501616610000 13003233220000