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201331332120000 = 263541677761101
BaseRepresentation
bin101101110001110000011010…
…100010000111110111000000
3222101212002100200220010021110
4231301300122202013313000
5202342103032010320000
61552110200453123320
760256465044523635
oct5561603242076700
9871762320803243
10201331332120000
1159172158314a95
121a6b743b929540
1388456037212a4
1437a06ba4da18c
151842153a25850
hexb71c1a887dc0

201331332120000 has 140 divisors (see below), whose sum is σ = 665648361696296. Its totient is φ = 53688355200000.

The previous prime is 201331332119987. The next prime is 201331332120029. The reversal of 201331332120000 is 21233133102.

It is a congruent number.

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, 838760551 + ... + 839000550.

Almost surely, 2201331332120000 is an apocalyptic number.

201331332120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201331332120000 is an abundant number, since it is smaller than the sum of its proper divisors (464317029576296).

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

201331332120000 is an equidigital number, since it uses as much as digits as its factorization.

201331332120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677761136 (or 1677761111 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 201331332120000 its reverse (21233133102), we get a palindrome (201352565253102).

The spelling of 201331332120000 in words is "two hundred one trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 1677761101 3355522202 5033283303 6711044404 8388805505 10066566606 13422088808 16777611010 20133133212 25166416515 26844177616 33555222020 40266266424 41944027525 50332833030 53688355232 67110444040 80532532848 83888055050 100665666060 107376710464 125832082575 134220888080 161065065696 167776110100 201331332120 209720137625 251664165150 268441776160 322130131392 335552220200 402662664240 419440275250 503328330300 536883552320 629160412875 671104440400 805325328480 838880550500 1006656660600 1048600688125 1258320825750 1342208880800 1610650656960 1677761101000 2013313321200 2097201376250 2516641651500 2684417761600 3145802064375 3355522202000 4026626642400 4194402752500 5033283303000 6291604128750 6711044404000 8053253284800 8388805505000 10066566606000 12583208257500 13422088808000 16777611010000 20133133212000 25166416515000 33555222020000 40266266424000 50332833030000 67110444040000 100665666060000 201331332120000