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201000222021000 = 23353371810812811
BaseRepresentation
bin101101101100111100000010…
…110101010101010110001000
3222100200102201001211022121110
4231230330002311111112020
5202321141423314133000
61551254121030410320
760223533610235223
oct5554740265252610
9870612631738543
10201000222021000
11590547962a1976
121a6632338009a0
138820316551c9c
14378c6697425ba
15183872505e850
hexb6cf02d55588

201000222021000 has 128 divisors (see below), whose sum is σ = 644069900972160. Its totient is φ = 52151408928000.

The previous prime is 201000222020981. The next prime is 201000222021023. The reversal of 201000222021000 is 120222000102.

201000222021000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 905295406 + ... + 905517405.

It is an arithmetic number, because the mean of its divisors is an integer number (5031796101345).

Almost surely, 2201000222021000 is an apocalyptic number.

201000222021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000222021000 is an abundant number, since it is smaller than the sum of its proper divisors (443069678951160).

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

201000222021000 is a wasteful number, since it uses less digits than its factorization.

201000222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810812872 (or 1810812858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201000222021000 its reverse (120222000102), we get a palindrome (201120444021102).

The spelling of 201000222021000 in words is "two hundred one trillion, two hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 1810812811 3621625622 5432438433 7243251244 9054064055 10864876866 14486502488 18108128110 21729753732 27162192165 36216256220 43459507464 45270320275 54324384330 67000074007 72432512440 90540640550 108648768660 134000148014 135810960825 181081281100 201000222021 217297537320 226351601375 268000296028 271621921650 335000370035 362162562200 402000444042 452703202750 536000592056 543243843300 670000740070 679054804125 804000888084 905406405500 1005001110105 1086487686600 1340001480140 1358109608250 1608001776168 1675001850175 1810812811000 2010002220210 2680002960280 2716219216500 3350003700350 4020004440420 5025005550525 5432438433000 6700007400700 8040008880840 8375009250875 10050011101050 13400014801400 16750018501750 20100022202100 25125027752625 33500037003500 40200044404200 50250055505250 67000074007000 100500111010500 201000222021000