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21331211121 = 3211297201937
BaseRepresentation
bin10011110111011100…
…000111001101110001
32001001121102210121100
4103313130013031301
5322141242223441
613444401515013
71353415205613
oct236734071561
961047383540
1021331211121
119056a04700
124173942a69
13201c41cc1c
14106500cdb3
1584ca73cb6
hex4f7707371

21331211121 has 36 divisors (see below), whose sum is σ = 34216778596. Its totient is φ = 12794664960.

The previous prime is 21331211117. The next prime is 21331211123. The reversal of 21331211121 is 12111213312.

21331211121 is a `hidden beast` number, since 2 + 1 + 331 + 211 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13855879521 + 7475331600 = 117711^2 + 86460^2 .

It is not a de Polignac number, because 21331211121 - 22 = 21331211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21331211094 and 21331211103.

It is not an unprimeable number, because it can be changed into a prime (21331211123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4665 + ... + 206601.

Almost surely, 221331211121 is an apocalyptic number.

It is an amenable number.

21331211121 is a deficient number, since it is larger than the sum of its proper divisors (12885567475).

21331211121 is a wasteful number, since it uses less digits than its factorization.

21331211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202062 (or 202048 counting only the distinct ones).

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

Adding to 21331211121 its reverse (12111213312), we get a palindrome (33442424433).

The spelling of 21331211121 in words is "twenty-one billion, three hundred thirty-one million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 97 99 121 291 363 873 1067 1089 3201 9603 11737 35211 105633 201937 605811 1817433 2221307 6663921 19587889 19991763 24434377 58763667 73303131 176291001 215466779 219909393 646400337 1939201011 2370134569 7110403707 21331211121