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21211100211 = 373853262147
BaseRepresentation
bin10011110000010001…
…111011010000110011
32000202020102112102010
4103300101323100303
5321420020201321
613424431254003
71350426243210
oct236021732063
960666375363
1021211100211
118aa5127594
12413b67a303
132000587692
1410530a4b07
1584224a676
hex4f047b433

21211100211 has 16 divisors (see below), whose sum is σ = 32330188544. Its totient is φ = 12117436704.

The previous prime is 21211100203. The next prime is 21211100237. The reversal of 21211100211 is 11200111212.

It is not a de Polignac number, because 21211100211 - 23 = 21211100203 is a prime.

It is a super-2 number, since 2×212111002112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21211100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50161 + ... + 211986.

It is an arithmetic number, because the mean of its divisors is an integer number (2020636784).

Almost surely, 221211100211 is an apocalyptic number.

21211100211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21211100211 is a deficient number, since it is larger than the sum of its proper divisors (11119088333).

21211100211 is a wasteful number, since it uses less digits than its factorization.

21211100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266010.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21211100211 its reverse (11200111212), we get a palindrome (32411211423).

The spelling of 21211100211 in words is "twenty-one billion, two hundred eleven million, one hundred thousand, two hundred eleven".

Divisors: 1 3 7 21 3853 11559 26971 80913 262147 786441 1835029 5505087 1010052391 3030157173 7070366737 21211100211