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1001103120 = 243251390421
BaseRepresentation
bin111011101010111…
…001111100010000
32120202202022022100
4323222321330100
54022240244440
6243201040400
733544143663
oct7352717420
92522668270
101001103120
11474107656
1223b326100
1312c535314
1496d576da
155cd4d230
hex3bab9f10

1001103120 has 60 divisors (see below), whose sum is σ = 3362040396. Its totient is φ = 266960640.

The previous prime is 1001103097. The next prime is 1001103133. The reversal of 1001103120 is 213011001.

It can be written as a sum of positive squares in 2 ways, for example, as 168896016 + 832207104 = 12996^2 + 28848^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 11 ways as a sum of consecutive naturals, for example, 694491 + ... + 695930.

Almost surely, 21001103120 is an apocalyptic number.

1001103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001103120 is an abundant number, since it is smaller than the sum of its proper divisors (2360937276).

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

1001103120 is a wasteful number, since it uses less digits than its factorization.

1001103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390440 (or 1390431 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001103120 is about 31640.2136528817. The cubic root of 1001103120 is about 1000.3675715413.

Adding to 1001103120 its reverse (213011001), we get a palindrome (1214114121).

The spelling of 1001103120 in words is "one billion, one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1390421 2780842 4171263 5561684 6952105 8342526 11123368 12513789 13904210 16685052 20856315 22246736 25027578 27808420 33370104 41712630 50055156 55616840 62568945 66740208 83425260 100110312 111233680 125137890 166850520 200220624 250275780 333701040 500551560 1001103120