Search a number
-
+
20109101827281 = 3294323347948163
BaseRepresentation
bin1001001001010000000111…
…10111110000010011010001
32122012102002212210120200120
410210220003313300103101
510113431420031433111
6110433554400540453
74143556201163655
oct444500367602321
978172085716616
1020109101827281
116453249813745
122309341621729
13b2b3846a6b9c
144d740003ca65
1524d13d1b3406
hex124a03df04d1

20109101827281 has 64 divisors (see below), whose sum is σ = 28563640934400. Its totient is φ = 12561968853504.

The previous prime is 20109101827267. The next prime is 20109101827319. The reversal of 20109101827281 is 18272810190102.

It is not a de Polignac number, because 20109101827281 - 225 = 20109068272849 is a prime.

It is a super-2 number, since 2×201091018272812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20109101827211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417497706 + ... + 417545868.

It is an arithmetic number, because the mean of its divisors is an integer number (446306889600).

Almost surely, 220109101827281 is an apocalyptic number.

It is an amenable number.

20109101827281 is a deficient number, since it is larger than the sum of its proper divisors (8454539107119).

20109101827281 is a wasteful number, since it uses less digits than its factorization.

20109101827281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48950.

The product of its (nonzero) digits is 32256, while the sum is 42.

The spelling of 20109101827281 in words is "twenty trillion, one hundred nine billion, one hundred one million, eight hundred twenty-seven thousand, two hundred eighty-one".

Divisors: 1 3 29 43 87 129 233 479 699 1247 1437 3741 6757 10019 13891 20271 20597 30057 41673 48163 61791 111607 144489 290551 334821 597313 871653 1396727 1791939 2071009 3236603 4190181 4799101 6213027 9709809 11221979 14397303 23070077 33665937 60059261 69210231 139173929 180177783 325437391 417521787 482545097 669032233 976312173 992013311 1447635291 2007096699 2976039933 5375327941 13993807813 16125983823 28768386019 41981423439 86305158057 155884510289 231139101463 467653530867 693417304389 6703033942427 20109101827281