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1023441012 = 22321117314939
BaseRepresentation
bin111101000000000…
…111100001110100
32122022210012010200
4331000013201310
54044000103022
6245315520500
734235051016
oct7500074164
92568705120
101023441012
11485784420
122468b9130
131340568c9
1499cd01b6
155ecb1bac
hex3d007874

1023441012 has 72 divisors (see below), whose sum is σ = 2838719520. Its totient is φ = 308320320.

The previous prime is 1023441007. The next prime is 1023441017. The reversal of 1023441012 is 2101443201.

1023441012 is a `hidden beast` number, since 10 + 234 + 410 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1023441007) and next prime (1023441017).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023441017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 61039 + ... + 75977.

It is an arithmetic number, because the mean of its divisors is an integer number (39426660).

Almost surely, 21023441012 is an apocalyptic number.

1023441012 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 1023441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419359760).

1023441012 is an abundant number, since it is smaller than the sum of its proper divisors (1815278508).

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

1023441012 is a wasteful number, since it uses less digits than its factorization.

1023441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133 (or 15128 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1023441012 is about 31991.2646202053. The cubic root of 1023441012 is about 1007.7534000880.

Adding to 1023441012 its reverse (2101443201), we get a palindrome (3124884213).

The spelling of 1023441012 in words is "one billion, twenty-three million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 692 1038 1557 1903 2076 3114 3806 5709 6228 7612 11418 14939 17127 22836 29878 34254 44817 59756 68508 89634 134451 164329 179268 268902 328658 492987 537804 657316 985974 1478961 1971948 2584447 2957922 5168894 5915844 7753341 10337788 15506682 23260023 28428917 31013364 46520046 56857834 85286751 93040092 113715668 170573502 255860253 341147004 511720506 1023441012