Search a number
-
+
13000124300 = 2252973314049
BaseRepresentation
bin11000001101101111…
…00010011110001100
31020120000000201222012
430012313202132030
5203111012434200
65545553440352
7640104143012
oct140667423614
936500021865
1013000124300
11557125a889
1226298700b8
1312c2416457
148b479c8b2
15511478a35
hex306de278c

13000124300 has 72 divisors (see below), whose sum is σ = 28594263600. Its totient is φ = 5129625600.

The previous prime is 13000124287. The next prime is 13000124309. The reversal of 13000124300 is 342100031.

13000124300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13000124309) 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 23 ways as a sum of consecutive naturals, for example, 3208676 + ... + 3212724.

It is an arithmetic number, because the mean of its divisors is an integer number (397142550).

Almost surely, 213000124300 is an apocalyptic number.

13000124300 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 13000124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297131800).

13000124300 is an abundant number, since it is smaller than the sum of its proper divisors (15594139300).

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

13000124300 is a wasteful number, since it uses less digits than its factorization.

13000124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13000124300 its reverse (342100031), we get a palindrome (13342224331).

The spelling of 13000124300 in words is "thirteen billion, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 331 388 485 662 970 1324 1655 1940 2425 3310 4049 4850 6620 8098 8275 9700 16196 16550 20245 32107 33100 40490 64214 80980 101225 128428 160535 202450 321070 392753 404900 642140 785506 802675 1340219 1571012 1605350 1963765 2680438 3210700 3927530 5360876 6701095 7855060 9818825 13402190 19637650 26804380 33505475 39275300 67010950 130001243 134021900 260002486 520004972 650006215 1300012430 2600024860 3250031075 6500062150 13000124300