Search a number
-
+
230123103312200 = 235271491949566023
BaseRepresentation
bin110100010100101110110101…
…110100111101100101001000
31010011210112221201221000120212
4310110232311310331211020
5220130314103421442300
62133233032203540252
766320563011630620
oct6424566564754510
91104715851830525
10230123103312200
116736272958294a
122198749582a688
139b536917ccca7
1440b8036533880
151b9106b4bd935
hexd14bb5d3d948

230123103312200 has 192 divisors, whose sum is σ = 615890714400000. Its totient is φ = 78329475210240.

The previous prime is 230123103312181. The next prime is 230123103312239. The reversal of 230123103312200 is 2213301321032.

It is a super-2 number, since 2×2301231033122002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406278389 + ... + 406844411.

It is an arithmetic number, because the mean of its divisors is an integer number (3207764137500).

Almost surely, 2230123103312200 is an apocalyptic number.

230123103312200 is a gapful number since it is divisible by the number (20) 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 230123103312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307945357200000).

230123103312200 is an abundant number, since it is smaller than the sum of its proper divisors (385767611087800).

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

230123103312200 is a wasteful number, since it uses less digits than its factorization.

230123103312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568144 (or 568135 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 230123103312200 its reverse (2213301321032), we get a palindrome (232336404633232).

The spelling of 230123103312200 in words is "two hundred thirty trillion, one hundred twenty-three billion, one hundred three million, three hundred twelve thousand, two hundred".