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21233201121 = 3211229672341
BaseRepresentation
bin10011110001100110…
…001110111111100001
32000210210000101011100
4103301212032333201
5321441144413441
613430541105013
71351115142306
oct236146167741
960723011140
1021233201121
119006652300
124146b58169
132005025142
141055db90ad
15844163cb6
hex4f198efe1

21233201121 has 36 divisors (see below), whose sum is σ = 34874379540. Its totient is φ = 12424843200.

The previous prime is 21233201107. The next prime is 21233201123. The reversal of 21233201121 is 12110233212.

21233201121 is a `hidden beast` number, since 212 + 332 + 0 + 1 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5367027600 + 15866173521 = 73260^2 + 125961^2 .

It is not a de Polignac number, because 21233201121 - 218 = 21232938977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21233201094 and 21233201103.

It is not an unprimeable number, because it can be changed into a prime (21233201123) 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, 304590 + ... + 367751.

It is an arithmetic number, because the mean of its divisors is an integer number (968732765).

Almost surely, 221233201121 is an apocalyptic number.

It is an amenable number.

21233201121 is a deficient number, since it is larger than the sum of its proper divisors (13641178419).

21233201121 is a wasteful number, since it uses less digits than its factorization.

21233201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672398 (or 672384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21233201121 its reverse (12110233212), we get a palindrome (33343434333).

The spelling of 21233201121 in words is "twenty-one billion, two hundred thirty-three million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 957 1089 2871 3509 10527 31581 672341 2017023 6051069 7395751 19497889 22187253 58493667 66561759 81353261 175481001 214476779 244059783 643430337 732179349 1930291011 2359244569 7077733707 21233201121