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121009005 = 33513192191
BaseRepresentation
bin1110011011001…
…11001101101101
322102200220011000
413031213031231
5221434242010
620001350513
72666362635
oct715471555
9272626130
10121009005
1162340947
1234638439
131c0bb280
14120dd6c5
15a9547c0
hex736736d

121009005 has 96 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 56142720.

The previous prime is 121009001. The next prime is 121009013. The reversal of 121009005 is 500900121.

It is not a de Polignac number, because 121009005 - 22 = 121009001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121009001) 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 95 ways as a sum of consecutive naturals, for example, 633460 + ... + 633650.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2121009005 is an apocalyptic number.

121009005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121009005 is an abundant number, since it is smaller than the sum of its proper divisors (124781715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121009005 is a wasteful number, since it uses less digits than its factorization.

121009005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 121009005 is about 11000.4093105666. The cubic root of 121009005 is about 494.6210138600.

Adding to 121009005 its reverse (500900121), we get a palindrome (621909126).

The spelling of 121009005 in words is "one hundred twenty-one million, nine thousand, five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 191 195 247 285 351 361 513 573 585 741 855 955 1083 1235 1719 1755 1805 2223 2483 2565 2865 3249 3629 3705 4693 5157 5415 6669 7449 8595 9747 10887 11115 12415 14079 16245 18145 22347 23465 25785 32661 33345 37245 42237 47177 48735 54435 67041 68951 70395 97983 111735 126711 141531 163305 206853 211185 235885 335205 344755 424593 489915 620559 633555 707655 896363 1034265 1273779 1861677 2122965 2689089 3102795 4481815 6368895 8067267 9308385 13445445 24201801 40336335 121009005