Search a number
-
+
1001340130 = 257294153227
BaseRepresentation
bin111011101011110…
…011110011100010
32120210012100102111
4323223303303202
54022320341010
6243210105534
733546151660
oct7353636342
92523170374
101001340130
1147425972a
1223b41b2aa
1312c5b916b
1496db9c30
155cd9858a
hex3baf3ce2

1001340130 has 128 divisors (see below), whose sum is σ = 2233889280. Its totient is φ = 315893760.

The previous prime is 1001340127. The next prime is 1001340161. The reversal of 1001340130 is 310431001.

1001340130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1001340130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4411077 + ... + 4411303.

It is an arithmetic number, because the mean of its divisors is an integer number (17452260).

Almost surely, 21001340130 is an apocalyptic number.

1001340130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001340130 is an abundant number, since it is smaller than the sum of its proper divisors (1232549150).

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

1001340130 is a wasteful number, since it uses less digits than its factorization.

1001340130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1001340130 is about 31643.9588231308. The cubic root of 1001340130 is about 1000.4465105986.

Adding to 1001340130 its reverse (310431001), we get a palindrome (1311771131).

The spelling of 1001340130 in words is "one billion, one million, three hundred forty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 41 53 58 70 82 106 145 203 205 227 265 287 290 371 406 410 454 530 574 742 1015 1135 1189 1435 1537 1589 1855 2030 2173 2270 2378 2870 3074 3178 3710 4346 5945 6583 7685 7945 8323 9307 10759 10865 11890 12031 13166 15211 15370 15890 16646 18614 21518 21730 24062 30422 32915 41615 46081 46535 53795 60155 63017 65149 65830 76055 83230 84217 92162 93070 107590 120310 126034 130298 152110 168434 230405 269903 315085 325745 348899 421085 441119 460810 493271 539806 630170 651490 697798 842170 882238 986542 1349515 1744495 1889321 2205595 2442293 2466355 2699030 3452897 3488990 3778642 4411190 4884586 4932710 6905794 9446605 12211465 14304859 17264485 18893210 24422930 28609718 34528970 71524295 100134013 143048590 200268026 500670065 1001340130