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1100103220 = 22592959209
BaseRepresentation
bin100000110010010…
…0011111000110100
32211200001000220201
41001210203320310
54223111300340
6301055010244
736155503006
oct10144437064
92750030821
101100103220
11514a85917
12268509984
13146bb8968
14a6168376
15668a679a
hex41923e34

1100103220 has 24 divisors (see below), whose sum is σ = 2312742600. Its totient is φ = 439560192.

The previous prime is 1100103187. The next prime is 1100103233. The reversal of 1100103220 is 223010011.

It can be written as a sum of positive squares in 4 ways, for example, as 1313316 + 1098789904 = 1146^2 + 33148^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100103197 and 1100103206.

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 7 ways as a sum of consecutive naturals, for example, 11025 + ... + 48184.

It is an arithmetic number, because the mean of its divisors is an integer number (96364275).

Almost surely, 21100103220 is an apocalyptic number.

1100103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100103220 is an abundant number, since it is smaller than the sum of its proper divisors (1212639380).

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

1100103220 is a wasteful number, since it uses less digits than its factorization.

1100103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60147 (or 60145 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100103220 is about 33167.8039671004. The cubic root of 1100103220 is about 1032.3124029172.

Adding to 1100103220 its reverse (223010011), we get a palindrome (1323113231).

The spelling of 1100103220 in words is "one billion, one hundred million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 929 1858 3716 4645 9290 18580 59209 118418 236836 296045 592090 1184180 55005161 110010322 220020644 275025805 550051610 1100103220