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211221010209 = 311234710315743
BaseRepresentation
bin1100010010110111000…
…0001101011100100001
3202012012100121001202010
43010231300031130201
511430040034311314
6241011131143133
721155152651326
oct3045560153441
9665170531663
10211221010209
118163a832260
1234b295a4aa9
1316bc1c78ca1
14a31a482b4d
15576361d059
hex312dc0d721

211221010209 has 64 divisors (see below), whose sum is σ = 327784071168. Its totient is φ = 119704622400.

The previous prime is 211221010201. The next prime is 211221010213. The reversal of 211221010209 is 902010122112.

It is not a de Polignac number, because 211221010209 - 23 = 211221010201 is a prime.

It is a super-2 number, since 2×2112210102092 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221010201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 36775992 + ... + 36781734.

It is an arithmetic number, because the mean of its divisors is an integer number (5121626112).

Almost surely, 2211221010209 is an apocalyptic number.

It is an amenable number.

211221010209 is a deficient number, since it is larger than the sum of its proper divisors (116563060959).

211221010209 is a wasteful number, since it uses less digits than its factorization.

211221010209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 211221010209 in words is "two hundred eleven billion, two hundred twenty-one million, ten thousand, two hundred nine".

Divisors: 1 3 11 23 33 47 69 141 253 517 759 1031 1081 1551 3093 3243 5743 11341 11891 17229 23713 34023 35673 48457 63173 71139 132089 145371 189519 260843 269921 396267 533027 782529 809763 1114511 1452979 1599081 2969131 3343533 4358937 5921033 6208183 8907393 12259621 17763099 18624549 36778863 65131363 68290013 136183759 195394089 204870039 278288551 408551277 834865653 1498021349 3061174061 4494064047 6400636673 9183522183 19201910019 70407003403 211221010209