Search a number
-
+
12301023040 = 26538440697
BaseRepresentation
bin10110111010011001…
…01011011101000000
31011202021112201022221
423131030223131000
5200143030214130
65352341340424
7613554653635
oct133514533500
934667481287
1012301023040
115242674749
122473707714
131210630177
148499ba18c
154bedd287a
hex2dd32b740

12301023040 has 28 divisors (see below), whose sum is σ = 29291811876. Its totient is φ = 4920409088.

The previous prime is 12301023019. The next prime is 12301023041. The reversal of 12301023040 is 4032010321.

It is a happy number.

12301023040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1436713216 + 10864309824 = 37904^2 + 104232^2 .

It is a super-2 number, since 2×123010230402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301023041) 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 3 ways as a sum of consecutive naturals, for example, 19220029 + ... + 19220668.

Almost surely, 212301023040 is an apocalyptic number.

12301023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301023040 is an abundant number, since it is smaller than the sum of its proper divisors (16990788836).

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

12301023040 is an equidigital number, since it uses as much as digits as its factorization.

12301023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38440714 (or 38440704 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12301023040 its reverse (4032010321), we get a palindrome (16333033361).

The spelling of 12301023040 in words is "twelve billion, three hundred one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 38440697 76881394 153762788 192203485 307525576 384406970 615051152 768813940 1230102304 1537627880 2460204608 3075255760 6150511520 12301023040