Search a number
-
+
12111310232032 = 2511213922503029
BaseRepresentation
bin1011000000111110001001…
…0110000001100111100000
31120212211102000220202121211
42300033202112001213200
53041412430404411112
641431505322355504
72360004362250304
oct260174226014740
946784360822554
1012111310232032
11394a417980700
12143730535bb94
1369b126497acb
142dc294bc7d04
1516009a07a0a7
hexb03e25819e0

12111310232032 has 72 divisors (see below), whose sum is σ = 26397404371800. Its totient is φ = 5465535440640.

The previous prime is 12111310231981. The next prime is 12111310232069. The reversal of 12111310232032 is 23023201311121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12111310231994 and 12111310232012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10713307 + ... + 11789722.

It is an arithmetic number, because the mean of its divisors is an integer number (366630616275).

Almost surely, 212111310232032 is an apocalyptic number.

It is an amenable number.

12111310232032 is an abundant number, since it is smaller than the sum of its proper divisors (14286094139768).

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

12111310232032 is a wasteful number, since it uses less digits than its factorization.

12111310232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22503200 (or 22503181 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12111310232032 its reverse (23023201311121), we get a palindrome (35134511543153).

The spelling of 12111310232032 in words is "twelve trillion, one hundred eleven billion, three hundred ten million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 139 176 242 278 352 484 556 968 1112 1529 1936 2224 3058 3872 4448 6116 12232 16819 24464 33638 48928 67276 134552 269104 538208 22503029 45006058 90012116 180024232 247533319 360048464 495066638 720096928 990133276 1980266552 2722866509 3127921031 3960533104 5445733018 6255842062 7921066208 10891466036 12511684124 21782932072 25023368248 34407131341 43565864144 50046736496 68814262682 87131728288 100093472992 137628525364 275257050728 378478444751 550514101456 756956889502 1101028202912 1513913779004 3027827558008 6055655116016 12111310232032