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200321232103000 = 2353599452373939
BaseRepresentation
bin101101100011000011101011…
…111000010110011001011000
3222021021112010002111200010201
4231203003223320112121120
5202224030340404244000
61550014145324151544
760123505606200121
oct5543035370263130
9867245102450121
10200321232103000
1158912837181908
121a57371b3985b4
1387a1298b19b38
143767856937048
151825c3574696a
hexb630ebe16658

200321232103000 has 128 divisors (see below), whose sum is σ = 469644402240000. Its totient is φ = 79975954531200.

The previous prime is 200321232102947. The next prime is 200321232103037. The reversal of 200321232103000 is 301232123002.

200321232103000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2709240031 + ... + 2709313969.

It is an arithmetic number, because the mean of its divisors is an integer number (3669096892500).

Almost surely, 2200321232103000 is an apocalyptic number.

200321232103000 is a gapful number since it is divisible by the number (20) 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 200321232103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234822201120000).

200321232103000 is an abundant number, since it is smaller than the sum of its proper divisors (269323170137000).

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

200321232103000 is a wasteful number, since it uses less digits than its factorization.

200321232103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79082 (or 79068 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 200321232103000 its reverse (301232123002), we get a palindrome (200622464226002).

The spelling of 200321232103000 in words is "two hundred trillion, three hundred twenty-one billion, two hundred thirty-two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 599 1000 1198 2396 2995 4523 4792 5990 9046 11980 14975 18092 22615 23960 29950 36184 45230 59900 73939 74875 90460 113075 119800 147878 149750 180920 226150 295756 299500 369695 452300 565375 591512 599000 739390 904600 1130750 1478780 1848475 2261500 2709277 2957560 3696950 4523000 5418554 7393900 9242375 10837108 13546385 14787800 18484750 21674216 27092770 36969500 44289461 54185540 67731925 73939000 88578922 108371080 135463850 177157844 221447305 270927700 334426097 338659625 354315688 442894610 541855400 668852194 677319250 885789220 1107236525 1337704388 1354638500 1672130485 1771578440 2214473050 2675408776 2709277000 3344260970 4428946100 5536182625 6688521940 8360652425 8857892200 11072365250 13377043880 16721304850 22144730500 33442609700 41803262125 44289461000 66885219400 83606524250 167213048500 200321232103 334426097000 400642464206 801284928412 1001606160515 1602569856824 2003212321030 4006424642060 5008030802575 8012849284120 10016061605150 20032123210300 25040154012875 40064246420600 50080308025750 100160616051500 200321232103000