Search a number
-
+
11311203100300 = 2252378393643721
BaseRepresentation
bin1010010010011001100000…
…1111100010011010001100
31111001100012012012011112021
42210212120033202122030
52440310320443202200
640020143414015524
72245131104660665
oct244463017423214
944040165164467
1011311203100300
1136710662a4294
12132822b0475a4
1364084627b79c
142b167253636c
1514936c67541a
hexa49983e268c

11311203100300 has 72 divisors (see below), whose sum is σ = 25238750554080. Its totient is φ = 4396949798400.

The previous prime is 11311203100279. The next prime is 11311203100361. The reversal of 11311203100300 is 300130211311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282440 + ... + 4926160.

It is an arithmetic number, because the mean of its divisors is an integer number (350538202140).

Almost surely, 211311203100300 is an apocalyptic number.

11311203100300 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 11311203100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619375277040).

11311203100300 is an abundant number, since it is smaller than the sum of its proper divisors (13927547453780).

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

11311203100300 is a wasteful number, since it uses less digits than its factorization.

11311203100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644611 (or 3644604 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11311203100300 its reverse (300130211311), we get a palindrome (11611333311611).

The spelling of 11311203100300 in words is "eleven trillion, three hundred eleven billion, two hundred three million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 839 925 1678 1850 3356 3700 4195 8390 16780 20975 31043 41950 62086 83900 124172 155215 310430 620860 776075 1552150 3104300 3643721 7287442 14574884 18218605 36437210 72874420 91093025 134817677 182186050 269635354 364372100 539270708 674088385 1348176770 2696353540 3057081919 3370441925 6114163838 6740883850 12228327676 13481767700 15285409595 30570819190 61141638380 76427047975 113112031003 152854095950 226224062006 305708191900 452448124012 565560155015 1131120310030 2262240620060 2827800775075 5655601550150 11311203100300