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211113211113 = 33710111179901
BaseRepresentation
bin1100010010011101010…
…0111111010011101001
3202011220211202022012000
43010213110333103221
511424324440223423
6240552320441213
721152403454260
oct3044724772351
9664824668160
10211113211113
11815949a41a2
1234ab9479209
1316ba583463c
14a30a0215d7
155758e27843
hex312753f4e9

211113211113 has 64 divisors (see below), whose sum is σ = 361339031040. Its totient is φ = 119322720000.

The previous prime is 211113211109. The next prime is 211113211189. The reversal of 211113211113 is 311112311112.

It is not a de Polignac number, because 211113211113 - 22 = 211113211109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211113211613) 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, 21317463 + ... + 21327363.

It is an arithmetic number, because the mean of its divisors is an integer number (5645922360).

Almost surely, 2211113211113 is an apocalyptic number.

It is an amenable number.

211113211113 is a deficient number, since it is larger than the sum of its proper divisors (150225819927).

211113211113 is a wasteful number, since it uses less digits than its factorization.

211113211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135 (or 11129 counting only the distinct ones).

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

Adding to 211113211113 its reverse (311112311112), we get a palindrome (522225522225).

Subtracting 211113211113 from its reverse (311112311112), we obtain a palindrome (99999099999).

The spelling of 211113211113 in words is "two hundred eleven billion, one hundred thirteen million, two hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 27 63 101 189 303 707 909 1117 2121 2727 3351 6363 7819 9901 10053 19089 23457 29703 30159 69307 70371 89109 112817 207921 211113 267327 338451 623763 789719 1000001 1015353 1871289 2369157 3000003 3046059 7000007 7107471 9000009 11059417 21000021 21322413 27000027 33178251 63000063 77415919 99534753 189000189 232247757 298604259 696743271 1117001117 2090229813 3351003351 7819007819 10053010053 23457023457 30159030159 70371070371 211113211113