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11313444300 = 22352611016121
BaseRepresentation
bin10101000100101010…
…10111010111001100
31002012110020111222120
422202111113113030
5141132220204200
65110342212540
7550233455424
oct124225272714
932173214876
1011313444300
114886165174
122238a24150
1310b3b51952
14794783484
154633569a0
hex2a25575cc

11313444300 has 144 divisors (see below), whose sum is σ = 33605078304. Its totient is φ = 2937600000.

The previous prime is 11313444299. The next prime is 11313444349. The reversal of 11313444300 is 344431311.

11313444300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1845240 + ... + 1851360.

Almost surely, 211313444300 is an apocalyptic number.

11313444300 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 11313444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16802539152).

11313444300 is an abundant number, since it is smaller than the sum of its proper divisors (22291634004).

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

11313444300 is a wasteful number, since it uses less digits than its factorization.

11313444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11313444300 its reverse (344431311), we get a palindrome (11657875611).

The spelling of 11313444300 in words is "eleven billion, three hundred thirteen million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 101 122 150 183 202 244 300 303 305 366 404 505 606 610 732 915 1010 1212 1220 1515 1525 1830 2020 2525 3030 3050 3660 4575 5050 6060 6100 6121 6161 7575 9150 10100 12242 12322 15150 18300 18363 18483 24484 24644 30300 30605 30805 36726 36966 61210 61610 73452 73932 91815 92415 122420 123220 153025 154025 183630 184830 306050 308050 367260 369660 373381 459075 462075 612100 616100 618221 746762 918150 924150 1120143 1236442 1493524 1836300 1848300 1854663 1866905 2240286 2472884 3091105 3709326 3733810 4480572 5600715 6182210 7418652 7467620 9273315 9334525 11201430 12364420 15455525 18546630 18669050 22402860 28003575 30911050 37093260 37338100 37711481 46366575 56007150 61822100 75422962 92733150 112014300 113134443 150845924 185466300 188557405 226268886 377114810 452537772 565672215 754229620 942787025 1131344430 1885574050 2262688860 2828361075 3771148100 5656722150 11313444300