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21122221311 = 3329105125667
BaseRepresentation
bin10011101010111110…
…111000010011111111
32000112001012000111000
4103222332320103333
5321224242040221
613411534301343
71345266630102
oct235276702377
960461160430
1021122221311
118a59a41554
124115957853
131cb8038b09
14104536a739
15839540e26
hex4eafb84ff

21122221311 has 32 divisors (see below), whose sum is σ = 32403283200. Its totient is φ = 13582447200.

The previous prime is 21122221249. The next prime is 21122221403. The reversal of 21122221311 is 11312222112.

It is not a de Polignac number, because 21122221311 - 211 = 21122219263 is a prime.

It is a super-2 number, since 2×211222213112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122201311) 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, 810100 + ... + 835766.

It is an arithmetic number, because the mean of its divisors is an integer number (1012602600).

Almost surely, 221122221311 is an apocalyptic number.

21122221311 is a deficient number, since it is larger than the sum of its proper divisors (11281061889).

21122221311 is a wasteful number, since it uses less digits than its factorization.

21122221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26756 (or 26750 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 21122221311 its reverse (11312222112), we get a palindrome (32434443423).

The spelling of 21122221311 in words is "twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 27 29 87 261 783 1051 3153 9459 25667 28377 30479 77001 91437 231003 274311 693009 744343 822933 2233029 6699087 20097261 26976017 80928051 242784153 728352459 782304493 2346913479 7040740437 21122221311