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1101103120 = 245131058753
BaseRepresentation
bin100000110100001…
…1000000000010000
32211201220211112001
41001220120000100
54223340244440
6301132243344
736200136115
oct10150300020
92751824461
101101103120
115155a9087
12268910554
13147178b10
14a634890c
1566a02b9a
hex41a18010

1101103120 has 40 divisors (see below), whose sum is σ = 2756995416. Its totient is φ = 406560768.

The previous prime is 1101103099. The next prime is 1101103121. The reversal of 1101103120 is 213011011.

It can be written as a sum of positive squares in 4 ways, for example, as 19219456 + 1081883664 = 4384^2 + 32892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 1101103097 and 1101103106.

It is not an unprimeable number, because it can be changed into a prime (1101103121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528337 + ... + 530416.

Almost surely, 21101103120 is an apocalyptic number.

1101103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101103120 is an abundant number, since it is smaller than the sum of its proper divisors (1655892296).

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

1101103120 is a wasteful number, since it uses less digits than its factorization.

1101103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058779 (or 1058773 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1101103120 is about 33182.8738960326. The cubic root of 1101103120 is about 1032.6250695170.

Adding to 1101103120 its reverse (213011011), we get a palindrome (1314114131).

The spelling of 1101103120 in words is "one billion, one hundred one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1058753 2117506 4235012 5293765 8470024 10587530 13763789 16940048 21175060 27527578 42350120 55055156 68818945 84700240 110110312 137637890 220220624 275275780 550551560 1101103120