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1001320012 = 227112337877
BaseRepresentation
bin111011101011101…
…110111001001100
32120210011022211101
4323223232321030
54022314220022
6243205432444
733546036220
oct7353567114
92523138741
101001320012
11474245600
1223b40b724
1312c5acc64
1496db2780
155cd92627
hex3baeee4c

1001320012 has 72 divisors (see below), whose sum is σ = 2210298272. Its totient is φ = 388523520.

The previous prime is 1001319989. The next prime is 1001320013. The reversal of 1001320012 is 2100231001.

It is not an unprimeable number, because it can be changed into a prime (1001320013) by changing a digit.

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, 1141318 + ... + 1142194.

Almost surely, 21001320012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105149136).

1001320012 is an abundant number, since it is smaller than the sum of its proper divisors (1208978260).

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

1001320012 is a wasteful number, since it uses less digits than its factorization.

1001320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1234 counting only the distinct ones).

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

The square root of 1001320012 is about 31643.6409409537. The cubic root of 1001320012 is about 1000.4398105383.

Adding to 1001320012 its reverse (2100231001), we get a palindrome (3101551013).

The spelling of 1001320012 in words is "one billion, one million, three hundred twenty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 337 484 674 847 877 1348 1694 1754 2359 3388 3508 3707 4718 6139 7414 9436 9647 12278 14828 19294 24556 25949 38588 40777 51898 67529 81554 103796 106117 135058 163108 212234 270116 285439 295549 424468 570878 591098 742819 1141756 1182196 1485638 2068843 2971276 3251039 4137686 6502078 8275372 13004156 22757273 35761429 45514546 71522858 91029092 143045716 250330003 500660006 1001320012