Search a number
-
+
123320220132 = 22317738280971
BaseRepresentation
bin111001011011001110…
…1010011100111100100
3102210022101202021021110
41302312131103213210
54010024434021012
6132352540145020
711623663401324
oct1626635234744
9383271667243
10123320220132
114833305a6aa
121ba97838170
13b824029075
145d7c2a7284
15331b6ee73c
hex1cb67539e4

123320220132 has 48 divisors (see below), whose sum is σ = 308847131712. Its totient is φ = 38158709760.

The previous prime is 123320220073. The next prime is 123320220143. The reversal of 123320220132 is 231022023321.

It is a happy number.

123320220132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 123320220099 and 123320220108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125594 + ... + 4155377.

It is an arithmetic number, because the mean of its divisors is an integer number (6434315244).

Almost surely, 2123320220132 is an apocalyptic number.

123320220132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123320220132 is an abundant number, since it is smaller than the sum of its proper divisors (185526911580).

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

123320220132 is a wasteful number, since it uses less digits than its factorization.

123320220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281068 (or 8281066 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123320220132 its reverse (231022023321), we get a palindrome (354342243453).

The spelling of 123320220132 in words is "one hundred twenty-three billion, three hundred twenty million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 4964 7446 14892 8280971 16561942 24842913 33123884 49685826 99371652 140776507 281553014 422329521 563106028 604510883 844659042 1209021766 1689318084 1813532649 2418043532 3627065298 7254130596 10276685011 20553370022 30830055033 41106740044 61660110066 123320220132