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1020031120 = 24512750389
BaseRepresentation
bin111100110011000…
…111000010010000
32122002100221122101
4330303013002100
54042111443440
6245114450144
734164056443
oct7463070220
92562327571
101020031120
11483865529
12245733954
13133431814
149968365a
155e83b69a
hex3ccc7090

1020031120 has 20 divisors (see below), whose sum is σ = 2371572540. Its totient is φ = 408012416.

The previous prime is 1020031109. The next prime is 1020031141. The reversal of 1020031120 is 211300201.

It can be written as a sum of positive squares in 2 ways, for example, as 272118016 + 747913104 = 16496^2 + 27348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 = 1020031097 and 1020031106.

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 3 ways as a sum of consecutive naturals, for example, 6375115 + ... + 6375274.

It is an arithmetic number, because the mean of its divisors is an integer number (118578627).

Almost surely, 21020031120 is an apocalyptic number.

1020031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020031120 is an abundant number, since it is smaller than the sum of its proper divisors (1351541420).

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

1020031120 is a wasteful number, since it uses less digits than its factorization.

1020031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12750402 (or 12750396 counting only the distinct ones).

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

The square root of 1020031120 is about 31937.9260441250. The cubic root of 1020031120 is about 1006.6329467432.

Adding to 1020031120 its reverse (211300201), we get a palindrome (1231331321).

The spelling of 1020031120 in words is "one billion, twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12750389 25500778 51001556 63751945 102003112 127503890 204006224 255007780 510015560 1020031120