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2031340116 = 2231325318899
BaseRepresentation
bin111100100010011…
…1100101001010100
312020120022202210010
41321010330221110
513130010340431
6533322400220
7101224051251
oct17104745124
95216282703
102031340116
11952702993
12488360070
13264acb300
14153ad6428
15bd503846
hex7913ca54

2031340116 has 72 divisors (see below), whose sum is σ = 5229554400. Its totient is φ = 613202304.

The previous prime is 2031340099. The next prime is 2031340117. The reversal of 2031340116 is 6110431302.

It is a junction number, because it is equal to n+sod(n) for n = 2031340092 and 2031340101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031340117) 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, 98035 + ... + 116933.

It is an arithmetic number, because the mean of its divisors is an integer number (72632700).

Almost surely, 22031340116 is an apocalyptic number.

2031340116 is a gapful number since it is divisible by the number (26) 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 2031340116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614777200).

2031340116 is an abundant number, since it is smaller than the sum of its proper divisors (3198214284).

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

2031340116 is a wasteful number, since it uses less digits than its factorization.

2031340116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18985 (or 18970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2031340116 is about 45070.3906794694. The cubic root of 2031340116 is about 1266.4679830876.

Adding to 2031340116 its reverse (6110431302), we get a palindrome (8141771418).

The spelling of 2031340116 in words is "two billion, thirty-one million, three hundred forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 169 212 318 338 507 636 676 689 1014 1378 2028 2067 2756 4134 8268 8957 17914 18899 26871 35828 37798 53742 56697 75596 107484 113394 226788 245687 491374 737061 982748 1001647 1474122 2003294 2948244 3004941 3193931 4006588 6009882 6387862 9581793 12019764 12775724 13021411 19163586 26042822 38327172 39064233 52085644 78128466 156256932 169278343 338556686 507835029 677113372 1015670058 2031340116