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201221010221220 = 2232511101626772839
BaseRepresentation
bin101101110000001001101010…
…110101011110100010100100
3222101110112121011202222210100
4231300021222311132202210
5202333301112104034340
61551543353404024100
760245511134046033
oct5560115265364244
9871415534688710
10201221010221220
115912a3954a3630
121a699b91232030
1388380a1629b42
14379921268271a
15183e348545830
hexb7026ad5e8a4

201221010221220 has 72 divisors (see below), whose sum is σ = 665858615647680. Its totient is φ = 48780850962240.

The previous prime is 201221010221219. The next prime is 201221010221237. The reversal of 201221010221220 is 22122010122102.

It is a happy number.

201221010221220 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 210 + 10 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201221010221193 and 201221010221202.

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 23 ways as a sum of consecutive naturals, for example, 50813384440 + ... + 50813388399.

It is an arithmetic number, because the mean of its divisors is an integer number (9248036328440).

Almost surely, 2201221010221220 is an apocalyptic number.

201221010221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221010221220 is an abundant number, since it is smaller than the sum of its proper divisors (464637605426460).

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

201221010221220 is a wasteful number, since it uses less digits than its factorization.

201221010221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101626772865 (or 101626772860 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201221010221220 its reverse (22122010122102), we get a palindrome (223343020343322).

The spelling of 201221010221220 in words is "two hundred one trillion, two hundred twenty-one billion, ten million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 101626772839 203253545678 304880318517 406507091356 508133864195 609760637034 914640955551 1016267728390 1117894501229 1219521274068 1524401592585 1829281911102 2032535456780 2235789002458 3048803185170 3353683503687 3658563822204 4471578004916 4573204777755 5589472506145 6097606370340 6707367007374 9146409555510 10061050511061 11178945012290 13414734014748 16768417518435 18292819111020 20122101022122 22357890024580 33536835036870 40244202044244 50305252555305 67073670073740 100610505110610 201221010221220