Search a number
-
+
12100122201009 = 3173721011715911
BaseRepresentation
bin1011000000010100011101…
…1111000100101110110001
31120211202112022122220022110
42300011013133010232301
53041222022240413014
641422415220155533
72356130210460123
oct260050737045661
946752468586273
1012100122201009
1139456a6595377
121435102538ba9
1369a062616ccb
142db912d6d213
1515eb42c47d59
hexb01477c4bb1

12100122201009 has 48 divisors (see below), whose sum is σ = 17730532423296. Its totient is φ = 7313894784000.

The previous prime is 12100122200987. The next prime is 12100122201023. The reversal of 12100122201009 is 90010222100121.

It is not a de Polignac number, because 12100122201009 - 235 = 12065762462641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12100122201109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6193764 + ... + 7909674.

It is an arithmetic number, because the mean of its divisors is an integer number (369386092152).

Almost surely, 212100122201009 is an apocalyptic number.

It is an amenable number.

12100122201009 is a deficient number, since it is larger than the sum of its proper divisors (5630410222287).

12100122201009 is a wasteful number, since it uses less digits than its factorization.

12100122201009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716106 (or 1716069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 12100122201009 in words is "twelve trillion, one hundred billion, one hundred twenty-two million, two hundred one thousand, nine".

Divisors: 1 3 17 37 51 101 111 303 629 1369 1717 1887 3737 4107 5151 11211 23273 63529 69819 138269 190587 414807 1715911 2350573 5147733 7051719 29170487 63488707 87511461 173307011 190466121 519921033 1079308019 2349082159 2946219187 3237924057 6412359407 7047246477 8838657561 19237078221 39934396703 109010109919 119803190109 237257298059 327030329757 711771894177 4033374067003 12100122201009