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21131220411 = 337831347053
BaseRepresentation
bin10011101011100001…
…001101010110111011
32000112200010012221000
4103223201031112323
5321234043023121
613412455220043
71345436260410
oct235341152673
960480105830
1021131220411
118a64028724
124118977623
131cb9b69c22
141046630107
1583a21c526
hex4eb84d5bb

21131220411 has 32 divisors (see below), whose sum is σ = 36208811520. Its totient is φ = 11929492512.

The previous prime is 21131220361. The next prime is 21131220413. The reversal of 21131220411 is 11402213112.

21131220411 is a `hidden beast` number, since 2 + 1 + 1 + 31 + 220 + 411 = 666.

It is not a de Polignac number, because 21131220411 - 211 = 21131218363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21131220413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657840 + ... + 689213.

It is an arithmetic number, because the mean of its divisors is an integer number (1131525360).

Almost surely, 221131220411 is an apocalyptic number.

21131220411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21131220411 is a deficient number, since it is larger than the sum of its proper divisors (15077591109).

21131220411 is a wasteful number, since it uses less digits than its factorization.

21131220411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347152 (or 1347146 counting only the distinct ones).

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

Adding to 21131220411 its reverse (11402213112), we get a palindrome (32533433523).

The spelling of 21131220411 in words is "twenty-one billion, one hundred thirty-one million, two hundred twenty thousand, four hundred eleven".

Divisors: 1 3 7 9 21 27 63 83 189 249 581 747 1743 2241 5229 15687 1347053 4041159 9429371 12123477 28288113 36370431 84864339 111805399 254593017 335416197 782637793 1006248591 2347913379 3018745773 7043740137 21131220411