Search a number
-
+
13220323000 = 2353831491069
BaseRepresentation
bin11000100111111111…
…00001111010111000
31021010100100222210121
430103333201322320
5204033400314000
610023501223024
7645416614513
oct142377417270
937110328717
1013220323000
115674589385
12268b561a74
131328c23441
148d5b1bd7a
15525972b1a
hex313fe1eb8

13220323000 has 128 divisors (see below), whose sum is σ = 31547880000. Its totient is φ = 5184499200.

The previous prime is 13220322977. The next prime is 13220323031. The reversal of 13220323000 is 32302231.

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, 12366466 + ... + 12367534.

Almost surely, 213220323000 is an apocalyptic number.

13220323000 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 13220323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773940000).

13220323000 is an abundant number, since it is smaller than the sum of its proper divisors (18327557000).

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

13220323000 is a wasteful number, since it uses less digits than its factorization.

13220323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13220323000 its reverse (32302231), we get a palindrome (13252625231).

The spelling of 13220323000 in words is "thirteen billion, two hundred twenty million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 149 166 200 250 298 332 415 500 596 664 745 830 1000 1069 1192 1490 1660 2075 2138 2980 3320 3725 4150 4276 5345 5960 7450 8300 8552 10375 10690 12367 14900 16600 18625 20750 21380 24734 26725 29800 37250 41500 42760 49468 53450 61835 74500 83000 88727 98936 106900 123670 133625 149000 159281 177454 213800 247340 267250 309175 318562 354908 443635 494680 534500 618350 637124 709816 796405 887270 1069000 1236700 1274248 1545875 1592810 1774540 2218175 2473400 3091750 3185620 3549080 3982025 4436350 6183500 6371240 7964050 8872700 11090875 12367000 13220323 15928100 17745400 19910125 22181750 26440646 31856200 39820250 44363500 52881292 66101615 79640500 88727000 105762584 132203230 159281000 264406460 330508075 528812920 661016150 1322032300 1652540375 2644064600 3305080750 6610161500 13220323000