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201021332323300 = 2252234715391120823
BaseRepresentation
bin101101101101001111101101…
…000110101111101111100100
3222100202110012021120210021121
4231231033231012233233210
5202322013142033321200
61551311531501423324
760225212003654116
oct5555175506575744
9870673167523247
10201021332323300
11590627395324a5
121a66734556ab44
1388222cbc76918
14378d6ad2893b6
15183905d4e8e1a
hexb6d3ed1afbe4

201021332323300 has 144 divisors (see below), whose sum is σ = 464900996431872. Its totient is φ = 75270559478400.

The previous prime is 201021332323289. The next prime is 201021332323327. The reversal of 201021332323300 is 3323233120102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663706689 + ... + 1663827511.

It is an arithmetic number, because the mean of its divisors is an integer number (3228479141888).

Almost surely, 2201021332323300 is an apocalyptic number.

201021332323300 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 201021332323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232450498215936).

201021332323300 is an abundant number, since it is smaller than the sum of its proper divisors (263879664108572).

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

201021332323300 is a wasteful number, since it uses less digits than its factorization.

201021332323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136298 (or 136291 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 201021332323300 its reverse (3323233120102), we get a palindrome (204344565443402).

The spelling of 201021332323300 in words is "two hundred one trillion, twenty-one billion, three hundred thirty-two million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 47 50 92 94 100 115 188 230 235 460 470 575 940 1081 1150 1175 2162 2300 2350 4324 4700 5405 10810 15391 21620 27025 30782 54050 61564 76955 108100 120823 153910 241646 307820 353993 384775 483292 604115 707986 723377 769550 1208230 1415972 1446754 1539100 1769965 2416460 2778929 2893508 3020575 3539930 3616885 5557858 5678681 6041150 7079860 7233770 8849825 11115716 11357362 12082300 13894645 14467540 16637671 17699650 18084425 22714724 27789290 28393405 33275342 35399300 36168850 55578580 56786810 66550684 69473225 72337700 83188355 113573620 130609663 138946450 141967025 166376710 261219326 277892900 283934050 332753420 415941775 522438652 567868100 653048315 831883550 1306096630 1663767100 1859586793 2612193260 3265241575 3719173586 6530483150 7438347172 9297933965 13060966300 18595867930 37191735860 42770496239 46489669825 85540992478 87400579271 92979339650 171081984956 174801158542 185958679300 213852481195 349602317084 427704962390 437002896355 855409924780 874005792710 1069262405975 1748011585420 2010213323233 2138524811950 2185014481775 4020426646466 4277049623900 4370028963550 8040853292932 8740057927100 10051066616165 20102133232330 40204266464660 50255333080825 100510666161650 201021332323300