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1020110320 = 24561209039
BaseRepresentation
bin111100110011011…
…010010111110000
32122002111222021201
4330303122113300
54042122012240
6245120300544
734164536365
oct7463322760
92562458251
101020110320
11483909a89
12245771754
1313345b898
14996a446c
155e854d9a
hex3ccda5f0

1020110320 has 40 divisors (see below), whose sum is σ = 2410649280. Its totient is φ = 401352960.

The previous prime is 1020110291. The next prime is 1020110327. The reversal of 1020110320 is 230110201.

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 = 1020110297 and 1020110306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020110327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 99640 + ... + 109399.

It is an arithmetic number, because the mean of its divisors is an integer number (60266232).

Almost surely, 21020110320 is an apocalyptic number.

1020110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020110320 is an abundant number, since it is smaller than the sum of its proper divisors (1390538960).

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

1020110320 is a wasteful number, since it uses less digits than its factorization.

1020110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209113 (or 209107 counting only the distinct ones).

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

The square root of 1020110320 is about 31939.1659252398. The cubic root of 1020110320 is about 1006.6589993032.

Adding to 1020110320 its reverse (230110201), we get a palindrome (1250220521).

The spelling of 1020110320 in words is "one billion, twenty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 209039 418078 836156 1045195 1672312 2090390 3344624 4180780 8361560 12751379 16723120 25502758 51005516 63756895 102011032 127513790 204022064 255027580 510055160 1020110320