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11310310300 = 2252294782981
BaseRepresentation
bin10101000100010010…
…11010001110011100
31002012020100021221111
422202021122032130
5141130414412200
65110151111404
7550165023412
oct124211321634
932166307844
1011310310300
114884414593
122237972564
1310b32c5303
147941a92b2
15462e380ba
hex2a225a39c

11310310300 has 72 divisors (see below), whose sum is σ = 25930215360. Its totient is φ = 4275129600.

The previous prime is 11310310279. The next prime is 11310310373. The reversal of 11310310300 is 301301311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94810 + ... + 177790.

It is an arithmetic number, because the mean of its divisors is an integer number (360141880).

Almost surely, 211310310300 is an apocalyptic number.

11310310300 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 11310310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12965107680).

11310310300 is an abundant number, since it is smaller than the sum of its proper divisors (14619905060).

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

11310310300 is a wasteful number, since it uses less digits than its factorization.

11310310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83071 (or 83064 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 11310310300 its reverse (301301311), we get a palindrome (11611611611).

The spelling of 11310310300 in words is "eleven billion, three hundred ten million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 290 470 580 725 940 1175 1363 1450 2350 2726 2900 4700 5452 6815 13630 27260 34075 68150 82981 136300 165962 331924 414905 829810 1659620 2074525 2406449 3900107 4149050 4812898 7800214 8298100 9625796 12032245 15600428 19500535 24064490 39001070 48128980 60161225 78002140 97502675 113103103 120322450 195005350 226206206 240644900 390010700 452412412 565515515 1131031030 2262062060 2827577575 5655155150 11310310300