Search a number
-
+
12243103020 = 223657311503
BaseRepresentation
bin10110110011011111…
…01110110100101100
31011121020120002000000
423121233232310230
5200033213244040
65342512104300
7612252441621
oct133157566454
934536502000
1012243103020
115212a04565
122458235090
131201630b75
14842020348
154b9c91130
hex2d9beed2c

12243103020 has 168 divisors, whose sum is σ = 39079594176. Its totient is φ = 3219823872.

The previous prime is 12243102997. The next prime is 12243103057. The reversal of 12243103020 is 2030134221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12243102984 and 12243103002.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1058589 + ... + 1070091.

It is an arithmetic number, because the mean of its divisors is an integer number (232616632).

Almost surely, 212243103020 is an apocalyptic number.

12243103020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12243103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19539797088).

12243103020 is an abundant number, since it is smaller than the sum of its proper divisors (26836491156).

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

12243103020 is a wasteful number, since it uses less digits than its factorization.

12243103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603 (or 11586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12243103020 its reverse (2030134221), we get a palindrome (14273237241).

The spelling of 12243103020 in words is "twelve billion, two hundred forty-three million, one hundred three thousand, twenty".