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1013303100 = 223523838819
BaseRepresentation
bin111100011001011…
…100011100111100
32121121201010112110
4330121130130330
54033401144400
6244314334020
734052635305
oct7431343474
92547633473
101013303100
1147aa8a687
1224342a310
13131c17344
14988117ac
155de5ce50
hex3c65c73c

1013303100 has 72 divisors (see below), whose sum is σ = 2939811840. Its totient is φ = 269478080.

The previous prime is 1013303051. The next prime is 1013303119. The reversal of 1013303100 is 13033101.

It is a super-2 number, since 2×10133031002 = 2053566344939220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 110491 + ... + 119309.

It is an arithmetic number, because the mean of its divisors is an integer number (40830720).

Almost surely, 21013303100 is an apocalyptic number.

1013303100 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 1013303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469905920).

1013303100 is an abundant number, since it is smaller than the sum of its proper divisors (1926508740).

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

1013303100 is a wasteful number, since it uses less digits than its factorization.

1013303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9212 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1013303100 is about 31832.4221510082. The cubic root of 1013303100 is about 1004.4148471086.

Adding to 1013303100 its reverse (13033101), we get a palindrome (1026336201).

The spelling of 1013303100 in words is "one billion, thirteen million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 383 766 1149 1532 1915 2298 3830 4596 5745 7660 8819 9575 11490 17638 19150 22980 26457 28725 35276 38300 44095 52914 57450 88190 105828 114900 132285 176380 220475 264570 440950 529140 661425 881900 1322850 2645700 3377677 6755354 10133031 13510708 16888385 20266062 33776770 40532124 50665155 67553540 84441925 101330310 168883850 202660620 253325775 337767700 506651550 1013303100