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202102202112201 = 321011511472414939
BaseRepresentation
bin101101111100111110010101…
…111101110001100011001001
3222111120210002221210010211100
4231330332111331301203021
5202442220302220042301
61553500245300252013
760366254654405346
oct5574762575614311
9874523087703740
10202102202112201
115943a076331776
121a8009166a1009
1388a0204623851
1437c9b27ba17cd
15185721e78e286
hexb7cf95f718c9

202102202112201 has 24 divisors (see below), whose sum is σ = 296768175986880. Its totient is φ = 132517344420000.

The previous prime is 202102202112199. The next prime is 202102202112229. The reversal of 202102202112201 is 102211202201202.

It is a happy number.

202102202112201 is a `hidden beast` number, since 2 + 0 + 2 + 10 + 220 + 211 + 220 + 1 = 666.

It is not a de Polignac number, because 202102202112201 - 21 = 202102202112199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202102202112241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736070211 + ... + 736344728.

It is an arithmetic number, because the mean of its divisors is an integer number (12365340666120).

Almost surely, 2202102202112201 is an apocalyptic number.

It is an amenable number.

202102202112201 is a deficient number, since it is larger than the sum of its proper divisors (94665973874679).

202102202112201 is a wasteful number, since it uses less digits than its factorization.

202102202112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472415197 (or 1472415194 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202102202112201 its reverse (102211202201202), we get a palindrome (304313404313403).

The spelling of 202102202112201 in words is "two hundred two trillion, one hundred two billion, two hundred two million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 9 101 151 303 453 909 1359 15251 45753 137259 1472414939 4417244817 13251734451 148713908839 222334655789 446141726517 667003967367 1338425179551 2001011902101 22455800234689 67367400704067 202102202112201