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1000410012 = 223275876763
BaseRepresentation
bin111011101000010…
…000101110011100
32120201110002112200
4323220100232130
54022101110022
6243134131500
733535226160
oct7350205634
92521402480
101000410012
11473783938
1223b050b90
1312c3519b4
1496c16ca0
155cc62bac
hex3ba10b9c

1000410012 has 72 divisors (see below), whose sum is σ = 2895424896. Its totient is φ = 285302304.

The previous prime is 1000410011. The next prime is 1000410023. The reversal of 1000410012 is 2100140001.

It is a happy number.

1000410012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000409976 and 1000410003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000410011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144543 + ... + 151305.

Almost surely, 21000410012 is an apocalyptic number.

1000410012 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 1000410012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447712448).

1000410012 is an abundant number, since it is smaller than the sum of its proper divisors (1895014884).

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

1000410012 is a wasteful number, since it uses less digits than its factorization.

1000410012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367 (or 7362 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000410012 is about 31629.2587962475. The cubic root of 1000410012 is about 1000.1366519920.

Adding to 1000410012 its reverse (2100140001), we get a palindrome (3100550013).

The spelling of 1000410012 in words is "one billion, four hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 587 1174 1761 2348 3522 4109 5283 6763 7044 8218 10566 12327 13526 16436 20289 21132 24654 27052 36981 40578 47341 49308 60867 73962 81156 94682 121734 142023 147924 189364 243468 284046 426069 568092 852138 1704276 3969881 7939762 11909643 15879524 23819286 27789167 35728929 47638572 55578334 71457858 83367501 111156668 142915716 166735002 250102503 333470004 500205006 1000410012