Search a number
-
+
13250303400 = 2335223992401
BaseRepresentation
bin11000101011100011…
…11001010110101000
31021012102210011011210
430111301321112220
5204114034202100
610030451553120
7646232502105
oct142561712650
937172704153
1013250303400
11568a4a6074
1226995bb7a0
1313321bc519
148d9ac3aac
155283e5c50
hex315c795a8

13250303400 has 96 divisors (see below), whose sum is σ = 41248252800. Its totient is φ = 3518592000.

The previous prime is 13250303399. The next prime is 13250303401. The reversal of 13250303400 is 430305231.

13250303400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13250303399) and next prime (13250303401).

It is not an unprimeable number, because it can be changed into a prime (13250303401) 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, 97200 + ... + 189600.

It is an arithmetic number, because the mean of its divisors is an integer number (429669300).

Almost surely, 213250303400 is an apocalyptic number.

13250303400 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 13250303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624126400).

13250303400 is an abundant number, since it is smaller than the sum of its proper divisors (27997949400).

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

13250303400 is a wasteful number, since it uses less digits than its factorization.

13250303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92659 (or 92650 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 13250303400 its reverse (430305231), we get a palindrome (13680608631).

The spelling of 13250303400 in words is "thirteen billion, two hundred fifty million, three hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 239 300 478 600 717 956 1195 1434 1912 2390 2868 3585 4780 5736 5975 7170 9560 11950 14340 17925 23900 28680 35850 47800 71700 92401 143400 184802 277203 369604 462005 554406 739208 924010 1108812 1386015 1848020 2217624 2310025 2772030 3696040 4620050 5544060 6930075 9240100 11088120 13860150 18480200 22083839 27720300 44167678 55440600 66251517 88335356 110419195 132503034 176670712 220838390 265006068 331257585 441676780 530012136 552095975 662515170 883353560 1104191950 1325030340 1656287925 2208383900 2650060680 3312575850 4416767800 6625151700 13250303400