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202117350305 = 5133179809141
BaseRepresentation
bin1011110000111100100…
…0100000001110100001
3201022200220110020002002
42330033020200032201
511302414020202210
6232503524133345
720413441062653
oct2741710401641
9638626406062
10202117350305
1178798a7a892
1233208837255
13160a0ba3390
149ad53a66d3
1553ce2b74a5
hex2f0f2203a1

202117350305 has 16 divisors (see below), whose sum is σ = 262021801104. Its totient is φ = 148785035520.

The previous prime is 202117350289. The next prime is 202117350307. The reversal of 202117350305 is 503053711202.

It can be written as a sum of positive squares in 8 ways, for example, as 49195683601 + 152921666704 = 221801^2 + 391052^2 .

It is not a de Polignac number, because 202117350305 - 24 = 202117350289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202117350307) 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, 4883966 + ... + 4925175.

It is an arithmetic number, because the mean of its divisors is an integer number (16376362569).

Almost surely, 2202117350305 is an apocalyptic number.

It is an amenable number.

202117350305 is a deficient number, since it is larger than the sum of its proper divisors (59904450799).

202117350305 is a wasteful number, since it uses less digits than its factorization.

202117350305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9809476.

The product of its (nonzero) digits is 6300, while the sum is 29.

The spelling of 202117350305 in words is "two hundred two billion, one hundred seventeen million, three hundred fifty thousand, three hundred five".

Divisors: 1 5 13 65 317 1585 4121 20605 9809141 49045705 127518833 637594165 3109497697 15547488485 40423470061 202117350305