Search a number
-
+
21212211202101 = 3289104949515099
BaseRepresentation
bin1001101001010110110100…
…10100000100100000110101
32210002212102110200221210200
410310223122110010200311
510240020102031431401
6113040431051111113
74316350240153143
oct464533224044065
983085373627720
1021212211202101
116839059249a97
12246709a742499
13bab3c27102ca
14534968460593
1526bba1b10686
hex134ada504835

21212211202101 has 48 divisors (see below), whose sum is σ = 31026013200000. Its totient is φ = 13963691174400.

The previous prime is 21212211202099. The next prime is 21212211202111. The reversal of 21212211202101 is 10120211221212.

21212211202101 is a `hidden beast` number, since 212 + 1 + 221 + 1 + 20 + 210 + 1 = 666.

It is not a de Polignac number, because 21212211202101 - 21 = 21212211202099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212211202111) 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 47 ways as a sum of consecutive naturals, for example, 4160070250 + ... + 4160075348.

It is an arithmetic number, because the mean of its divisors is an integer number (646375275000).

Almost surely, 221212211202101 is an apocalyptic number.

It is an amenable number.

21212211202101 is a deficient number, since it is larger than the sum of its proper divisors (9813801997899).

21212211202101 is a wasteful number, since it uses less digits than its factorization.

21212211202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11194 (or 11191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21212211202101 its reverse (10120211221212), we get a palindrome (31332422423313).

The spelling of 21212211202101 in words is "twenty-one trillion, two hundred twelve billion, two hundred eleven million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 89 267 801 1049 3147 4951 5099 9441 14853 15297 44559 45891 93361 280083 440639 453811 840249 1321917 1361433 3965751 4084299 5193599 5348851 15580797 16046553 25245149 46742391 48139659 75735447 227206341 462230311 476047739 1386690933 1428143217 2246818261 4160072799 4284429651 6740454783 20221364349 26482161301 79446483903 238339451709 2356912355789 7070737067367 21212211202101