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211101002212011 = 3619319913553453
BaseRepresentation
bin101111111111111011001000…
…001111111010001010101011
31000200110001120210202201112220
4233333323020033322022223
5210132134323031241021
62024550243413005123
762315354425242432
oct5777731017721253
91020401523681486
10211101002212011
11612994833a204a
121b8149566237a3
1390a397ba25612
143a1b4b3382119
15196134c94ecc6
hexbffec83fa2ab

211101002212011 has 16 divisors (see below), whose sum is σ = 281931608912640. Its totient is φ = 140502212837280.

The previous prime is 211101002211947. The next prime is 211101002212013. The reversal of 211101002212011 is 110212200101112.

It is a happy number.

It is not a de Polignac number, because 211101002212011 - 26 = 211101002211947 is a prime.

It is a super-3 number, since 3×2111010022120113 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (211101002212013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57630561 + ... + 61184013.

It is an arithmetic number, because the mean of its divisors is an integer number (17620725557040).

Almost surely, 2211101002212011 is an apocalyptic number.

211101002212011 is a deficient number, since it is larger than the sum of its proper divisors (70830606700629).

211101002212011 is a wasteful number, since it uses less digits than its factorization.

211101002212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586066.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211101002212011 its reverse (110212200101112), we get a palindrome (321313202313123).

The spelling of 211101002212011 in words is "two hundred eleven trillion, one hundred one billion, two million, two hundred twelve thousand, eleven".

Divisors: 1 3 619 1857 31991 95973 3553453 10660359 19802429 59407287 2199587407 6598762221 113678514923 341035544769 70367000737337 211101002212011