Search a number
-
+
111001133005 = 57219613311181
BaseRepresentation
bin110011101100000101…
…1101101111111001101
3101121111212012210200021
41213120023231333031
53304312242224010
6122554311302141
711006466030400
oct1473013557715
9347455183607
10111001133005
1143091278164
121961a07a951
13a60ca429b9
145530147d37
152d49e4e8da
hex19d82edfcd

111001133005 has 96 divisors (see below), whose sum is σ = 166419169920. Its totient is φ = 70652736000.

The previous prime is 111001132961. The next prime is 111001133011. The reversal of 111001133005 is 500331100111.

It is not a de Polignac number, because 111001133005 - 211 = 111001130957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111001133005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93988515 + ... + 93989695.

It is an arithmetic number, because the mean of its divisors is an integer number (1733533020).

Almost surely, 2111001133005 is an apocalyptic number.

It is an amenable number.

111001133005 is a deficient number, since it is larger than the sum of its proper divisors (55418036915).

111001133005 is a wasteful number, since it uses less digits than its factorization.

111001133005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

Adding to 111001133005 its reverse (500331100111), we get a palindrome (611332233116).

The spelling of 111001133005 in words is "one hundred eleven billion, one million, one hundred thirty-three thousand, five".

Divisors: 1 5 7 19 35 49 61 95 133 245 305 331 427 665 931 1159 1181 1655 2135 2317 2989 4655 5795 5905 6289 8113 8267 11585 14945 16219 20191 22439 31445 40565 41335 44023 56791 57869 72041 81095 100955 112195 141337 157073 220115 283955 289345 308161 360205 383629 390911 504287 706685 785365 989359 1099511 1368779 1540805 1918145 1954555 2521435 2685403 2736377 3530009 4946795 5497555 6843895 7427309 9581453 13427015 13681885 17650045 18797821 19154639 23845571 37136545 47907265 51991163 67070171 93989105 95773195 119227855 166918997 259955815 335350855 363938141 453065849 834594985 1168432979 1819690705 2265329245 3171460943 5842164895 15857304715 22200226601 111001133005