Search a number
-
+
12032103232305 = 3251320567697833
BaseRepresentation
bin1010111100010111000100…
…1111010011001100110001
31120121020221221222021111100
42233011301033103030301
53034113221411413210
641331245533435013
72351201506666662
oct257056117231461
946536857867440
1012032103232305
113919871664452
121423a9b03ba69
13693812734b30
142d84dd4b5369
1515ceb14ee5c0
hexaf1713d3331

12032103232305 has 24 divisors (see below), whose sum is σ = 22459926034728. Its totient is φ = 5923496975616.

The previous prime is 12032103232301. The next prime is 12032103232319. The reversal of 12032103232305 is 50323230123021.

It is a happy number.

12032103232305 is a `hidden beast` number, since 1 + 2 + 0 + 32 + 1 + 0 + 323 + 2 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 510756067584 + 11521347164721 = 714672^2 + 3394311^2 .

It is not a de Polignac number, because 12032103232305 - 22 = 12032103232301 is a prime.

It is a super-2 number, since 2×120321032323052 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12032103232301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10283848332 + ... + 10283849501.

It is an arithmetic number, because the mean of its divisors is an integer number (935830251447).

Almost surely, 212032103232305 is an apocalyptic number.

12032103232305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12032103232305 is a deficient number, since it is larger than the sum of its proper divisors (10427822802423).

12032103232305 is a wasteful number, since it uses less digits than its factorization.

12032103232305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20567697857 (or 20567697854 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12032103232305 its reverse (50323230123021), we get a palindrome (62355333355326).

The spelling of 12032103232305 in words is "twelve trillion, thirty-two billion, one hundred three million, two hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 20567697833 61703093499 102838489165 185109280497 267380071829 308515467495 802140215487 925546402485 1336900359145 2406420646461 4010701077435 12032103232305