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11323113200 = 2452731712757
BaseRepresentation
bin10101000101110100…
…01111111011110000
31002020010102202012222
422202322033323300
5141142204110300
65111325340212
7550411605560
oct124272177360
932203382188
1011323113200
1148906695a3
122240107668
1310b5b588a9
14795b7cda0
15464116785
hex2a2e8fef0

11323113200 has 120 divisors (see below), whose sum is σ = 31190554272. Its totient is φ = 3869660160.

The previous prime is 11323113173. The next prime is 11323113203. The reversal of 11323113200 is 231132311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323113203) by changing a digit.

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, 881222 + ... + 893978.

Almost surely, 211323113200 is an apocalyptic number.

11323113200 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 11323113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595277136).

11323113200 is an abundant number, since it is smaller than the sum of its proper divisors (19867441072).

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

11323113200 is a wasteful number, since it uses less digits than its factorization.

11323113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13099 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11323113200 its reverse (231132311), we get a palindrome (11554245511).

The spelling of 11323113200 in words is "eleven billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 317 350 400 560 634 700 1268 1400 1585 2219 2536 2800 3170 4438 5072 6340 7925 8876 11095 12680 12757 15850 17752 22190 25360 25514 31700 35504 44380 51028 55475 63400 63785 88760 89299 102056 110950 126800 127570 177520 178598 204112 221900 255140 318925 357196 443800 446495 510280 637850 714392 887600 892990 1020560 1275700 1428784 1785980 2232475 2551400 3571960 4043969 4464950 5102800 7143920 8087938 8929900 16175876 17859800 20219845 28307783 32351752 35719600 40439690 56615566 64703504 80879380 101099225 113231132 141538915 161758760 202198450 226462264 283077830 323517520 404396900 452924528 566155660 707694575 808793800 1132311320 1415389150 1617587600 2264622640 2830778300 5661556600 11323113200