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211211212201220 = 225711137150137793
BaseRepresentation
bin110000000001100001110001…
…010001101001110100000100
31000200211121001112022020222002
4300001201301101221310010
5210140441030310414340
62025113031423324432
762326335506553350
oct6001416121516404
91020747045266862
10211211212201220
1161331199028160
121b832193750718
1390b119389649a
143a2296a3c8460
15196414d1c6715
hexc01871469d04

211211212201220 has 48 divisors (see below), whose sum is σ = 552989355585408. Its totient is φ = 65832066140160.

The previous prime is 211211212201183. The next prime is 211211212201247. The reversal of 211211212201220 is 22102212112112.

It is a super-2 number, since 2×2112112122012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211211212201192 and 211211212201201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68575067357 + ... + 68575070436.

It is an arithmetic number, because the mean of its divisors is an integer number (11520611574696).

Almost surely, 2211211212201220 is an apocalyptic number.

211211212201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211212201220 is an abundant number, since it is smaller than the sum of its proper divisors (341778143384188).

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

211211212201220 is a wasteful number, since it uses less digits than its factorization.

211211212201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137150137820 (or 137150137818 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211211212201220 its reverse (22102212112112), we get a palindrome (233313424313332).

The spelling of 211211212201220 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 137150137793 274300275586 548600551172 685750688965 960050964551 1371501377930 1508651515723 1920101929102 2743002755860 3017303031446 3840203858204 4800254822755 6034606062892 7543257578615 9600509645510 10560560610061 15086515157230 19201019291020 21121121220122 30173030314460 42242242440244 52802803050305 105605606100610 211211212201220