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20233312101 = 323726126921
BaseRepresentation
bin10010110101111111…
…111101011101100101
31221020002112202021200
4102311333331131211
5312414211441401
613143422033113
71314254213052
oct226577753545
957202482250
1020233312101
1186431a4942
123b08118799
131ba5b26632
14d9d29a029
157d64a5686
hex4b5ffd765

20233312101 has 36 divisors (see below), whose sum is σ = 30530678724. Its totient is φ = 12908678400.

The previous prime is 20233312091. The next prime is 20233312139. The reversal of 20233312101 is 10121333202.

20233312101 is a `hidden beast` number, since 20 + 233 + 312 + 101 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4913309025 + 15320003076 = 70095^2 + 123774^2 .

It is not a de Polignac number, because 20233312101 - 214 = 20233295717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233312601) 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, 738121 + ... + 765041.

It is an arithmetic number, because the mean of its divisors is an integer number (848074409).

Almost surely, 220233312101 is an apocalyptic number.

It is an amenable number.

20233312101 is a deficient number, since it is larger than the sum of its proper divisors (10297366623).

20233312101 is a wasteful number, since it uses less digits than its factorization.

20233312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27062 (or 27022 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20233312101 its reverse (10121333202), we get a palindrome (30354645303).

The spelling of 20233312101 in words is "twenty billion, two hundred thirty-three million, three hundred twelve thousand, one hundred one".

Divisors: 1 3 9 37 61 111 183 333 549 1369 2257 4107 6771 12321 20313 26921 80763 83509 242289 250527 751581 996077 1642181 2988231 4926543 8964693 14779629 36854849 60760697 110564547 182282091 331693641 546846273 2248145789 6744437367 20233312101