Search a number
-
+
12320003718 = 2331120740747
BaseRepresentation
bin10110111100101010…
…00101011010000110
31011210121021000221000
423132111011122012
5200212410104333
65354300234130
7614205206121
oct133625053206
934717230830
1012320003718
115252359160
122479b3b946
131214547639
1484c31b3b8
154c18d1713
hex2de545686

12320003718 has 32 divisors (see below), whose sum is σ = 29866677120. Its totient is φ = 3733334280.

The previous prime is 12320003711. The next prime is 12320003743. The reversal of 12320003718 is 81730002321.

12320003718 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123200037182 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12320003691 and 12320003700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320003711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10369780 + ... + 10370967.

It is an arithmetic number, because the mean of its divisors is an integer number (933333660).

Almost surely, 212320003718 is an apocalyptic number.

12320003718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12320003718 is an abundant number, since it is smaller than the sum of its proper divisors (17546673402).

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

12320003718 is a wasteful number, since it uses less digits than its factorization.

12320003718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20740769 (or 20740763 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12320003718 in words is "twelve billion, three hundred twenty million, three thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 20740747 41481494 62222241 124444482 186666723 228148217 373333446 456296434 560000169 684444651 1120000338 1368889302 2053333953 4106667906 6160001859 12320003718