Search a number
-
+
2003002210230 = 235736744515839
BaseRepresentation
bin11101001001011100001…
…111000011011110110110
321002111002200000221011120
4131021130033003132312
5230304122031211410
64132055544444410
7264466155604410
oct35113417033666
97074080027146
102003002210230
1170251759086a
12284241479706
13116b61540928
146cd354ad9b0
153718185b570
hex1d25c3c37b6

2003002210230 has 128 divisors (see below), whose sum is σ = 5511100170240. Its totient is φ = 456400828800.

The previous prime is 2003002210219. The next prime is 2003002210243. The reversal of 2003002210230 is 320122003002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343035651 + ... + 343041489.

It is an arithmetic number, because the mean of its divisors is an integer number (43055470080).

Almost surely, 22003002210230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003002210230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755550085120).

2003002210230 is an abundant number, since it is smaller than the sum of its proper divisors (3508097960010).

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

2003002210230 is a wasteful number, since it uses less digits than its factorization.

2003002210230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2003002210230 its reverse (320122003002), we get a palindrome (2323124213232).

The spelling of 2003002210230 in words is "two trillion, three billion, two million, two hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 367 734 1101 1835 2202 2569 3670 4451 5138 5505 5839 7707 8902 11010 11678 12845 13353 15414 17517 22255 25690 26706 29195 31157 35034 38535 40873 44510 58390 62314 66765 77070 81746 87585 93471 122619 133530 155785 175170 186942 204365 245238 311570 408730 467355 613095 934710 1226190 1633517 2142913 3267034 4285826 4900551 6428739 8167585 9801102 10714565 11434619 12857478 15000391 16335170 21429130 22869238 24502755 25989389 30000782 32143695 34303857 45001173 49005510 51978778 57173095 64287390 68607714 75001955 77968167 90002346 114346190 129946945 150003910 155936334 171519285 181925723 225005865 259893890 343038570 363851446 389840835 450011730 545777169 779681670 909628615 1091554338 1819257230 2728885845 5457771690 9538105763 19076211526 28614317289 47690528815 57228634578 66766740341 95381057630 133533480682 143071586445 200300221023 286143172890 333833701705 400600442046 667667403410 1001501105115 2003002210230