Search a number
-
+
13443131000 = 2353133492963
BaseRepresentation
bin11001000010100010…
…11110011001111000
31021200212121210220202
430201101132121320
5210012420143000
610101540541332
7654063504515
oct144121363170
937625553822
1013443131000
11577932a322
1227320b1848
131363134cb0
1491755a30c
1553a2d4dd5
hex32145e678

13443131000 has 128 divisors (see below), whose sum is σ = 33985224000. Its totient is φ = 4947724800.

The previous prime is 13443130937. The next prime is 13443131033. The reversal of 13443131000 is 13134431.

It is a super-2 number, since 2×134431310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4535519 + ... + 4538481.

Almost surely, 213443131000 is an apocalyptic number.

13443131000 is a gapful number since it is divisible by the number (10) 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 13443131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992612000).

13443131000 is an abundant number, since it is smaller than the sum of its proper divisors (20542093000).

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

13443131000 is a wasteful number, since it uses less digits than its factorization.

13443131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13443131000 its reverse (13134431), we get a palindrome (13456265431).

The spelling of 13443131000 in words is "thirteen billion, four hundred forty-three million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 349 500 520 650 698 1000 1300 1396 1625 1745 2600 2792 2963 3250 3490 4537 5926 6500 6980 8725 9074 11852 13000 13960 14815 17450 18148 22685 23704 29630 34900 36296 38519 43625 45370 59260 69800 74075 77038 87250 90740 113425 118520 148150 154076 174500 181480 192595 226850 296300 308152 349000 370375 385190 453700 567125 592600 740750 770380 907400 962975 1034087 1134250 1481500 1540760 1925950 2068174 2268500 2963000 3851900 4136348 4537000 4814875 5170435 7703800 8272696 9629750 10340870 13443131 19259500 20681740 25852175 26886262 38519000 41363480 51704350 53772524 67215655 103408700 107545048 129260875 134431310 206817400 258521750 268862620 336078275 517043500 537725240 672156550 1034087000 1344313100 1680391375 2688626200 3360782750 6721565500 13443131000