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211111002009 = 32374753307829
BaseRepresentation
bin1100010010011100110…
…0100011111110011001
3202011220200121001212100
43010213030203332121
511424323404031014
6240552201234013
721152345623605
oct3044714437631
9664820531770
10211111002009
1181593725496
1234ab8792909
1316ba523cc8b
14a309a08505
155758b3d009
hex3127323f99

211111002009 has 96 divisors (see below), whose sum is σ = 327333726720. Its totient is φ = 130908151296.

The previous prime is 211111001999. The next prime is 211111002019. The reversal of 211111002009 is 900200111112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211111001999) and next prime (211111002019).

It is not a de Polignac number, because 211111002009 - 28 = 211111001753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211111001982 and 211111002000.

It is not an unprimeable number, because it can be changed into a prime (211111002019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254657007 + ... + 254657835.

It is an arithmetic number, because the mean of its divisors is an integer number (3409726320).

Almost surely, 2211111002009 is an apocalyptic number.

It is an amenable number.

211111002009 is a deficient number, since it is larger than the sum of its proper divisors (116222724711).

211111002009 is a wasteful number, since it uses less digits than its factorization.

211111002009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 211111002009 in words is "two hundred eleven billion, one hundred eleven million, two thousand, nine".

Divisors: 1 3 9 37 47 53 111 141 159 307 333 423 477 829 921 1739 1961 2487 2491 2763 5217 5883 7461 7473 11359 14429 15651 16271 17649 22419 30673 34077 38963 43287 43937 48813 92019 92167 102231 116889 129861 131811 146439 254503 276057 276501 350667 395433 533873 602027 763509 764737 829503 1441631 1601619 1625669 1806081 2065039 2290527 2294211 4324893 4804857 4877007 5418243 6195117 6882633 9416611 11961641 12974679 13488659 14631021 18585351 28249833 28295269 35884923 40465977 76406443 84749499 84885807 107654769 121397931 229219329 254657421 442580717 499080383 633966973 687657987 1327742151 1497241149 1901900919 3983226453 4491723447 5705702757 23456778001 70370334003 211111002009