Search a number
-
+
212202102020021 = 17352889816653
BaseRepresentation
bin110000001111111100100110…
…111010010101011110110101
31000211100022201100022112020122
4300033330212322111132311
5210303204401104120041
62031152144435141325
762461044623213351
oct6017744672253665
91024308640275218
10212202102020021
1161683451547083
121b972232744845
139153759615059
143a588ca938461
15197ece4c49c4b
hexc0ff26e957b5

212202102020021 has 16 divisors (see below), whose sum is σ = 225466572913200. Its totient is φ = 199715604673024.

The previous prime is 212202102019931. The next prime is 212202102020059. The reversal of 212202102020021 is 120020201202212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18126944880625 + 194075157139396 = 4257575^2 + 13931086^2 .

It is a de Polignac number, because none of the positive numbers 2k-212202102020021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202102022021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259435331 + ... + 260251983.

It is an arithmetic number, because the mean of its divisors is an integer number (14091660807075).

Almost surely, 2212202102020021 is an apocalyptic number.

It is an amenable number.

212202102020021 is a deficient number, since it is larger than the sum of its proper divisors (13264470893179).

212202102020021 is an frugal number, since it uses more digits than its factorization.

212202102020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869593 (or 869559 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212202102020021 its reverse (120020201202212), we get a palindrome (332222303222233).

The spelling of 212202102020021 in words is "two hundred twelve trillion, two hundred two billion, one hundred two million, twenty thousand, twenty-one".

Divisors: 1 17 289 4913 52889 816653 899113 13883101 15284921 236012717 259843657 4012216189 43191960517 734263328789 12482476589413 212202102020021