Search a number
-
+
11310232000122 = 23311159591193107
BaseRepresentation
bin1010010010010101111001…
…0111000101011001111010
31111001020200111220011112000
42210211132113011121322
52440301323343000442
640015503204001430
72245065043524066
oct244453627053172
944036614804460
1011310232000122
11367070811a360
121327bb9990276
1364072001c8b3
142b15bd58caa6
151493122a1d4c
hexa495e5c567a

11310232000122 has 64 divisors (see below), whose sum is σ = 27420485299200. Its totient is φ = 3427125398640.

The previous prime is 11310232000091. The next prime is 11310232000139. The reversal of 11310232000122 is 22100023201311.

11310232000122 is a `hidden beast` number, since 1 + 1 + 310 + 232 + 0 + 0 + 0 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11310232000095 and 11310232000104.

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 31 ways as a sum of consecutive naturals, for example, 8883093 + ... + 10076199.

It is an arithmetic number, because the mean of its divisors is an integer number (428445082800).

Almost surely, 211310232000122 is an apocalyptic number.

11310232000122 is an abundant number, since it is smaller than the sum of its proper divisors (16110253299078).

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

11310232000122 is a wasteful number, since it uses less digits than its factorization.

11310232000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209088 (or 1209082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11310232000122 its reverse (22100023201311), we get a palindrome (33410255201433).

The spelling of 11310232000122 in words is "eleven trillion, three hundred ten billion, two hundred thirty-two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 15959 31918 47877 95754 143631 175549 287262 351098 430893 526647 861786 1053294 1193107 1579941 2386214 3159882 3579321 4739823 7158642 9479646 10737963 13124177 21475926 26248354 32213889 39372531 64427778 78745062 118117593 236235186 354352779 708705558 19040794613 38081589226 57122383839 114244767678 171367151517 209448740743 342734303034 418897481486 514101454551 628346222229 1028202909102 1256692444458 1885038666687 3770077333374 5655116000061 11310232000122