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21311132121 = 324797519391
BaseRepresentation
bin10011110110001111…
…100001000111011001
32001000012122200101200
4103312033201013121
5322121122211441
613442403304413
71353052430346
oct236617410731
961005580350
1021311132121
11904663aa94
12416907b109
13201820c866
1410624a37cd
1584ae097b6
hex4f63e11d9

21311132121 has 24 divisors (see below), whose sum is σ = 31761859584. Its totient is φ = 13761757440.

The previous prime is 21311132077. The next prime is 21311132137. The reversal of 21311132121 is 12123111312.

21311132121 is a `hidden beast` number, since 213 + 111 + 321 + 21 = 666.

It is not a de Polignac number, because 21311132121 - 211 = 21311130073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21311132094 and 21311132103.

It is not an unprimeable number, because it can be changed into a prime (21311032121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218665 + ... + 300726.

It is an arithmetic number, because the mean of its divisors is an integer number (1323410816).

Almost surely, 221311132121 is an apocalyptic number.

It is an amenable number.

21311132121 is a deficient number, since it is larger than the sum of its proper divisors (10450727463).

21311132121 is a wasteful number, since it uses less digits than its factorization.

21311132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519541 (or 519538 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 21311132121 its reverse (12123111312), we get a palindrome (33434243433).

The spelling of 21311132121 in words is "twenty-one billion, three hundred eleven million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 47 97 141 291 423 873 4559 13677 41031 519391 1558173 4674519 24411377 50380927 73234131 151142781 219702393 453428343 2367903569 7103710707 21311132121