Search a number
-
+
123330300320232 = 23321712920837781
BaseRepresentation
bin11100000010101100010010…
…101111011001100111101000
3121011200021001200101002102100
4130002230102233121213220
5112131120423340221412
61114145054030333400
734656214545634635
oct3402542257314750
9534607050332370
10123330300320232
113632a0a5353255
12119ba2a405a260
1353a7cc7431035
14226530b36b18c
15e3d186705edc
hex702b12bd99e8

123330300320232 has 24 divisors (see below), whose sum is σ = 334019563367490. Its totient is φ = 41110100106720.

The previous prime is 123330300320021. The next prime is 123330300320273. The reversal of 123330300320232 is 232023003033321.

123330300320232 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 0 + 300 + 320 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64814317938756 + 58515982381476 = 8050734^2 + 7649574^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 123330300320196 and 123330300320205.

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 5 ways as a sum of consecutive naturals, for example, 856460418819 + ... + 856460418962.

Almost surely, 2123330300320232 is an apocalyptic number.

123330300320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123330300320232 is an abundant number, since it is smaller than the sum of its proper divisors (210689263047258).

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

123330300320232 is a wasteful number, since it uses less digits than its factorization.

123330300320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712920837793 (or 1712920837786 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 123330300320232 its reverse (232023003033321), we get a palindrome (355353303353553).

The spelling of 123330300320232 in words is "one hundred twenty-three trillion, three hundred thirty billion, three hundred million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1712920837781 3425841675562 5138762513343 6851683351124 10277525026686 13703366702248 15416287540029 20555050053372 30832575080058 41110100106744 61665150160116 123330300320232