Search a number
-
+
12304340120 = 235307608503
BaseRepresentation
bin10110111010110010…
…10101010010011000
31011202111210020111202
423131121111102120
5200144402340440
65352540413332
7613625110502
oct133531252230
934674706452
1012304340120
11524452a936
122474847248
131211221c37
1484a200d72
154c033a615
hex2dd655498

12304340120 has 16 divisors (see below), whose sum is σ = 27684765360. Its totient is φ = 4921736032.

The previous prime is 12304340119. The next prime is 12304340159. The reversal of 12304340120 is 2104340321.

12304340120 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 2×123043401202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12304340092 and 12304340101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 153804212 + ... + 153804291.

It is an arithmetic number, because the mean of its divisors is an integer number (1730297835).

Almost surely, 212304340120 is an apocalyptic number.

12304340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12304340120 is an abundant number, since it is smaller than the sum of its proper divisors (15380425240).

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

12304340120 is a wasteful number, since it uses less digits than its factorization.

12304340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307608514 (or 307608510 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12304340120 its reverse (2104340321), we get a palindrome (14408680441).

The spelling of 12304340120 in words is "twelve billion, three hundred four million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 307608503 615217006 1230434012 1538042515 2460868024 3076085030 6152170060 12304340120