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1103300220 = 2235115932819
BaseRepresentation
bin100000111000011…
…0000011001111100
32211220001110101010
41001300300121330
54224421101340
6301251315220
736224616501
oct10160603174
92756043333
101103300220
11516869870
122695abb10
13147767b89
14a675b4a8
1566cd8b80
hex41c3067c

1103300220 has 96 divisors (see below), whose sum is σ = 3376961280. Its totient is φ = 266920960.

The previous prime is 1103300207. The next prime is 1103300243. The reversal of 1103300220 is 220033011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1103300196 and 1103300205.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 389971 + ... + 392789.

It is an arithmetic number, because the mean of its divisors is an integer number (35176680).

Almost surely, 21103300220 is an apocalyptic number.

1103300220 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 1103300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688480640).

1103300220 is an abundant number, since it is smaller than the sum of its proper divisors (2273661060).

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

1103300220 is a wasteful number, since it uses less digits than its factorization.

1103300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1103300220 is about 33215.9633309046. The cubic root of 1103300220 is about 1033.3114336901.

Adding to 1103300220 its reverse (220033011), we get a palindrome (1323333231).

The spelling of 1103300220 in words is "one billion, one hundred three million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 593 660 1186 1779 2372 2819 2965 3558 5638 5930 6523 7116 8457 8895 11276 11860 13046 14095 16914 17790 19569 26092 28190 31009 32615 33828 35580 39138 42285 56380 62018 65230 78276 84570 93027 97845 124036 130460 155045 169140 186054 195690 310090 372108 391380 465135 620180 930270 1671667 1860540 3343334 5015001 6686668 8358335 10030002 16716670 18388337 20060004 25075005 33433340 36776674 50150010 55165011 73553348 91941685 100300020 110330022 183883370 220660044 275825055 367766740 551650110 1103300220