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1103302100 = 2252291372777
BaseRepresentation
bin100000111000011…
…0000110111010100
32211220001112221202
41001300300313110
54224421131400
6301251332032
736224625125
oct10160606724
92756045852
101103302100
1151687021a
122695b1018
131477689a4
14a675c04c
1566cd94d5
hex41c30dd4

1103302100 has 72 divisors (see below), whose sum is σ = 2495699640. Its totient is φ = 422840320.

The previous prime is 1103302099. The next prime is 1103302103. The reversal of 1103302100 is 12033011.

It can be written as a sum of positive squares in 12 ways, for example, as 423865744 + 679436356 = 20588^2 + 26066^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103302103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395912 + ... + 398688.

It is an arithmetic number, because the mean of its divisors is an integer number (34662495).

Almost surely, 21103302100 is an apocalyptic number.

1103302100 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 1103302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247849820).

1103302100 is an abundant number, since it is smaller than the sum of its proper divisors (1392397540).

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

1103302100 is a wasteful number, since it uses less digits than its factorization.

1103302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1103302100 is about 33215.9916305384. The cubic root of 1103302100 is about 1033.3120206033.

Adding to 1103302100 its reverse (12033011), we get a palindrome (1115335111).

The spelling of 1103302100 in words is "one billion, one hundred three million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 137 145 274 290 548 580 685 725 1370 1450 2740 2777 2900 3425 3973 5554 6850 7946 11108 13700 13885 15892 19865 27770 39730 55540 69425 79460 80533 99325 138850 161066 198650 277700 322132 380449 397300 402665 760898 805330 1521796 1610660 1902245 2013325 3804490 4026650 7608980 8053300 9511225 11033021 19022450 22066042 38044900 44132084 55165105 110330210 220660420 275825525 551651050 1103302100