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1011442020 = 2235234631583
BaseRepresentation
bin111100010010010…
…110000101100100
32121111012120121120
4330102112011210
54032412121040
6244210413540
734031054361
oct7422260544
92544176546
101011442020
11479a293a6
122428912b0
13131715204
1498489468
155dbe17d0
hex3c496164

1011442020 has 96 divisors (see below), whose sum is σ = 2963423232. Its totient is φ = 257271168.

The previous prime is 1011442009. The next prime is 1011442051. The reversal of 1011442020 is 202441101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 638149 + ... + 639731.

It is an arithmetic number, because the mean of its divisors is an integer number (30868992).

Almost surely, 21011442020 is an apocalyptic number.

1011442020 is a gapful number since it is divisible by the number (10) 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 1011442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481711616).

1011442020 is an abundant number, since it is smaller than the sum of its proper divisors (1951981212).

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

1011442020 is a wasteful number, since it uses less digits than its factorization.

1011442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1011442020 is about 31803.1762564685. The cubic root of 1011442020 is about 1003.7995517887.

Adding to 1011442020 its reverse (202441101), we get a palindrome (1213883121).

The spelling of 1011442020 in words is "one billion, eleven million, four hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 463 690 926 1380 1389 1583 1852 2315 2778 3166 4630 4749 5556 6332 6945 7915 9260 9498 10649 13890 15830 18996 21298 23745 27780 31660 31947 36409 42596 47490 53245 63894 72818 94980 106490 109227 127788 145636 159735 182045 212980 218454 319470 364090 436908 546135 638940 728180 732929 1092270 1465858 2184540 2198787 2931716 3664645 4397574 7329290 8795148 10993935 14658580 16857367 21987870 33714734 43975740 50572101 67429468 84286835 101144202 168573670 202288404 252860505 337147340 505721010 1011442020