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201211120011111 = 37311787172960303
BaseRepresentation
bin101101110000000000011101…
…010101010100011101100111
3222101102121001220121021002020
4231300000131111110131213
5202333120333210323421
61551535040142314223
760245011061462160
oct5560003525243547
9871377056537066
10201211120011111
115912617a757371
121a698090b88973
138837186600202
143798954d3c767
15183de6a122dc6
hexb7001d554767

201211120011111 has 32 divisors (see below), whose sum is σ = 316675096117248. Its totient is φ = 111206555773920.

The previous prime is 201211120011103. The next prime is 201211120011131. The reversal of 201211120011111 is 111110021112102.

It is not a de Polignac number, because 201211120011111 - 23 = 201211120011103 is a prime.

It is a super-2 number, since 2×2012111200111112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211120011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85316815 + ... + 87643488.

It is an arithmetic number, because the mean of its divisors is an integer number (9896096753664).

Almost surely, 2201211120011111 is an apocalyptic number.

201211120011111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201211120011111 is a deficient number, since it is larger than the sum of its proper divisors (115463976106137).

201211120011111 is a wasteful number, since it uses less digits than its factorization.

201211120011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172962131.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201211120011111 its reverse (111110021112102), we get a palindrome (312321141123213).

The spelling of 201211120011111 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty million, eleven thousand, one hundred eleven".

Divisors: 1 3 7 21 31 93 217 651 1787 5361 12509 37527 55397 166191 387779 1163337 172960303 518880909 1210722121 3632166363 5361769393 16085308179 37532385751 112597157253 309080061461 927240184383 2163560430227 6490681290681 9581481905291 28744445715873 67070373337037 201211120011111