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211211000220 = 223511714507277
BaseRepresentation
bin1100010010110100101…
…0000001100110011100
3202012011122202111121210
43010231022001212130
511430030004001340
6241010132424420
721155001610563
oct3045512014634
9665148674553
10211211000220
1181635115640
1234b26178110
1316bbcb82a0c
14a318dd8bda
1557627e2180
hex312d28199c

211211000220 has 96 divisors (see below), whose sum is σ = 654240416256. Its totient is φ = 50481491200.

The previous prime is 211211000197. The next prime is 211211000233. The reversal of 211211000220 is 22000112112.

It is a super-2 number, since 2×2112110002202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 211211000196 and 211211000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2206779 + ... + 2300498.

It is an arithmetic number, because the mean of its divisors is an integer number (6815004336).

Almost surely, 2211211000220 is an apocalyptic number.

211211000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211000220 is an abundant number, since it is smaller than the sum of its proper divisors (443029416036).

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

211211000220 is a wasteful number, since it uses less digits than its factorization.

211211000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507371 (or 4507369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211211000220 its reverse (22000112112), we get a palindrome (233211112332).

The spelling of 211211000220 in words is "two hundred eleven billion, two hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 9372 11715 15620 23430 46860 4507277 9014554 13521831 18029108 22536385 27043662 45072770 49580047 54087324 67609155 90145540 99160094 135218310 148740141 198320188 247900235 270436620 297480282 320016667 495800470 594960564 640033334 743700705 960050001 991600940 1280066668 1487401410 1600083335 1920100002 2974802820 3200166670 3520183337 3840200004 4800250005 6400333340 7040366674 9600500010 10560550011 14080733348 17600916685 19201000020 21121100022 35201833370 42242200044 52802750055 70403666740 105605500110 211211000220