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203314111323000 = 23353181374427461
BaseRepresentation
bin101110001110100111000001…
…011000100001101101111000
3222122212122020222202211210020
4232032213001120201231320
5203122044244444314000
62000225114024450440
760552650132624526
oct5616470130415570
9878778228684706
10203314111323000
11598670374aa137
121a977778619a20
13895a591305b42
14382c653c33316
1518789eec64ba0
hexb8e9c1621b78

203314111323000 has 128 divisors (see below), whose sum is σ = 637844670066240. Its totient is φ = 53917554240000.

The previous prime is 203314111322981. The next prime is 203314111323017. The reversal of 203314111323000 is 323111413302.

It is a super-2 number, since 2×2033141113230002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 186670731 + ... + 187756730.

Almost surely, 2203314111323000 is an apocalyptic number.

203314111323000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203314111323000 is an abundant number, since it is smaller than the sum of its proper divisors (434530558743240).

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

203314111323000 is a wasteful number, since it uses less digits than its factorization.

203314111323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374427666 (or 374427652 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 203314111323000 its reverse (323111413302), we get a palindrome (203637222736302).

The spelling of 203314111323000 in words is "two hundred three trillion, three hundred fourteen billion, one hundred eleven million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 181 200 250 300 362 375 500 543 600 724 750 905 1000 1086 1448 1500 1810 2172 2715 3000 3620 4344 4525 5430 7240 9050 10860 13575 18100 21720 22625 27150 36200 45250 54300 67875 90500 108600 135750 181000 271500 543000 374427461 748854922 1123282383 1497709844 1872137305 2246564766 2995419688 3744274610 4493129532 5616411915 7488549220 8986259064 9360686525 11232823830 14977098440 18721373050 22465647660 28082059575 37442746100 44931295320 46803432625 56164119150 67771370441 74885492200 93606865250 112328238300 135542740882 140410297875 187213730500 203314111323 224656476600 271085481764 280820595750 338856852205 374427461000 406628222646 542170963528 561641191500 677713704410 813256445292 1016570556615 1123282383000 1355427408820 1626512890584 1694284261025 2033141113230 2710854817640 3388568522050 4066282226460 5082852783075 6777137044100 8132564452920 8471421305125 10165705566150 13554274088200 16942842610250 20331411132300 25414263915375 33885685220500 40662822264600 50828527830750 67771370441000 101657055661500 203314111323000