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21200272425171 = 32722731025914431
BaseRepresentation
bin1001101001000000100101…
…01101010000000011010011
32210001201121102210020201100
410310200102231100003103
510234321124220101141
6113031134245435443
74315445341216260
oct464402255200323
983051542706640
1021200272425171
116833a921041a4
12246490840bb83
13baa23c163368
14534154a1c267
1526b7039350b6
hex134812b500d3

21200272425171 has 48 divisors (see below), whose sum is σ = 35018511390720. Its totient is φ = 12107092308480.

The previous prime is 21200272425109. The next prime is 21200272425179. The reversal of 21200272425171 is 17152427200212.

21200272425171 is a `hidden beast` number, since 2 + 1 + 200 + 27 + 2 + 425 + 1 + 7 + 1 = 666.

It is not a de Polignac number, because 21200272425171 - 29 = 21200272424659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21200272425179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469071326 + ... + 1469085756.

It is an arithmetic number, because the mean of its divisors is an integer number (729552320640).

Almost surely, 221200272425171 is an apocalyptic number.

21200272425171 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21200272425171 is a deficient number, since it is larger than the sum of its proper divisors (13818238965549).

21200272425171 is a wasteful number, since it uses less digits than its factorization.

21200272425171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26976 (or 26973 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 21200272425171 its reverse (17152427200212), we get a palindrome (38352699625383).

The spelling of 21200272425171 in words is "twenty-one trillion, two hundred billion, two hundred seventy-two million, four hundred twenty-five thousand, one hundred seventy-one".

Divisors: 1 3 7 9 21 63 2273 6819 10259 14431 15911 20457 30777 43293 47733 71813 92331 101017 129879 143199 215439 303051 646317 909153 23318707 32801663 69956121 98404989 148047629 163230949 209868363 229611641 295214967 444142887 489692847 688834923 1036333403 1332428661 1469078541 2066504769 3109000209 9327000627 336512260717 1009536782151 2355585825019 3028610346453 7066757475057 21200272425171