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212101200012009 = 37111783650734949
BaseRepresentation
bin110000001110011110101000…
…101011101110001011101001
31000210222200021022101102121210
4300032132220223232023221
5210300031224200341014
62031033540211023333
762450543314254030
oct6016365053561351
91023880238342553
10212101200012009
1161644682a38010
121b95677289ab49
139147098c87c79
143a53a77b97717
15197c38b738859
hexc0e7a8aee2e9

212101200012009 has 64 divisors (see below), whose sum is σ = 377821917849600. Its totient is φ = 102451710213120.

The previous prime is 212101200011977. The next prime is 212101200012029. The reversal of 212101200012009 is 900210002101212.

It is not a de Polignac number, because 212101200012009 - 25 = 212101200011977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (212101200012029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325041534 + ... + 325693415.

It is an arithmetic number, because the mean of its divisors is an integer number (5903467466400).

Almost surely, 2212101200012009 is an apocalyptic number.

It is an amenable number.

212101200012009 is a deficient number, since it is larger than the sum of its proper divisors (165720717837591).

212101200012009 is a wasteful number, since it uses less digits than its factorization.

212101200012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650735070.

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

The spelling of 212101200012009 in words is "two hundred twelve trillion, one hundred one billion, two hundred million, twelve thousand, nine".

Divisors: 1 3 7 11 17 21 33 51 77 83 119 187 231 249 357 561 581 913 1309 1411 1743 2739 3927 4233 6391 9877 15521 19173 29631 46563 108647 325941 650734949 1952204847 4555144643 7158084439 11062494133 13665433929 21474253317 33187482399 50106591073 54011000767 77437458931 121687435463 150319773219 162033002301 232312376793 365062306389 378077005369 594121008437 851812048241 918187013039 1134231016107 1782363025311 2555436144723 2754561039117 4158847059059 6427309091273 10100057143429 12476541177177 19281927273819 30300171430287 70700400004003 212101200012009