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21213101331 = 3237369717231
BaseRepresentation
bin10011110000011001…
…100011110100010011
32000202101012012102200
4103300121203310103
5321421023220311
613424542214243
71350452246322
oct236031436423
960671165380
1021213101331
118aa6274004
124140284383
132000b08486
1410534660b9
158424e3556
hex4f0663d13

21213101331 has 24 divisors (see below), whose sum is σ = 31479624384. Its totient is φ = 13755329280.

The previous prime is 21213101311. The next prime is 21213101333. The reversal of 21213101331 is 13310131212.

21213101331 is a `hidden beast` number, since 2 + 1 + 21 + 310 + 1 + 331 = 666.

It is not a de Polignac number, because 21213101331 - 214 = 21213084947 is a prime.

It is a super-2 number, since 2×212131013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21213101333) 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 23 ways as a sum of consecutive naturals, for example, 1222486 + ... + 1239716.

It is an arithmetic number, because the mean of its divisors is an integer number (1311651016).

Almost surely, 221213101331 is an apocalyptic number.

21213101331 is a deficient number, since it is larger than the sum of its proper divisors (10266523053).

21213101331 is a wasteful number, since it uses less digits than its factorization.

21213101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20971 (or 20968 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21213101331 its reverse (13310131212), we get a palindrome (34523232543).

The spelling of 21213101331 in words is "twenty-one billion, two hundred thirteen million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 37 111 333 3697 11091 17231 33273 51693 136789 155079 410367 637547 1231101 1912641 5737923 63703007 191109021 573327063 2357011259 7071033777 21213101331