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1020263112 = 2332111379403
BaseRepresentation
bin111100110011111…
…111101011001000
32122002210201212200
4330303333223020
54042141404422
6245123440200
734166044011
oct7463775310
92562721780
101020263112
11483a03860
12245826060
131334b32ab
1499704008
155e8852ac
hex3ccffac8

1020263112 has 96 divisors (see below), whose sum is σ = 3036739680. Its totient is φ = 306881280.

The previous prime is 1020263017. The next prime is 1020263131. The reversal of 1020263112 is 2113620201.

1020263112 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 631 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103803 + ... + 113205.

It is an arithmetic number, because the mean of its divisors is an integer number (31632705).

Almost surely, 21020263112 is an apocalyptic number.

1020263112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020263112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518369840).

1020263112 is an abundant number, since it is smaller than the sum of its proper divisors (2016476568).

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

1020263112 is a wasteful number, since it uses less digits than its factorization.

1020263112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9563 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1020263112 is about 31941.5577578803. The cubic root of 1020263112 is about 1006.7092558818.

Adding to 1020263112 its reverse (2113620201), we get a palindrome (3133883313).

The spelling of 1020263112 in words is "one billion, twenty million, two hundred sixty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 137 198 264 274 396 411 548 792 822 1096 1233 1507 1644 2466 3014 3288 4521 4932 6028 9042 9403 9864 12056 13563 18084 18806 27126 28209 36168 37612 54252 56418 75224 84627 103433 108504 112836 169254 206866 225672 310299 338508 413732 620598 677016 827464 930897 1241196 1288211 1861794 2482392 2576422 3723588 3864633 5152844 7447176 7729266 10305688 11593899 14170321 15458532 23187798 28340642 30917064 42510963 46375596 56681284 85021926 92751192 113362568 127532889 170043852 255065778 340087704 510131556 1020263112