Search a number
-
+
13232170320 = 2435173678837
BaseRepresentation
bin11000101001011001…
…01110010101010000
31021011011122220021020
430110230232111100
5204044413422240
610025003155440
7645622410015
oct142454562520
937134586236
1013232170320
115680240456
122693515b80
13132b510aa5
148d752370c
15526a130d0
hex314b2e550

13232170320 has 160 divisors (see below), whose sum is σ = 43555926528. Its totient is φ = 3311591424.

The previous prime is 13232170297. The next prime is 13232170321. The reversal of 13232170320 is 2307123231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232170321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492942 + ... + 1501778.

Almost surely, 213232170320 is an apocalyptic number.

13232170320 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 13232170320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21777963264).

13232170320 is an abundant number, since it is smaller than the sum of its proper divisors (30323756208).

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

13232170320 is a wasteful number, since it uses less digits than its factorization.

13232170320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 13232170320 its reverse (2307123231), we get a palindrome (15539293551).

The spelling of 13232170320 in words is "thirteen billion, two hundred thirty-two million, one hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 367 408 510 680 734 816 1020 1101 1360 1468 1835 2040 2202 2936 3670 4080 4404 5505 5872 6239 7340 8808 8837 11010 12478 14680 17616 17674 18717 22020 24956 26511 29360 31195 35348 37434 44040 44185 49912 53022 62390 70696 74868 88080 88370 93585 99824 106044 124780 132555 141392 149736 150229 176740 187170 212088 249560 265110 299472 300458 353480 374340 424176 450687 499120 530220 600916 706960 748680 751145 901374 1060440 1201832 1497360 1502290 1802748 2120880 2253435 2403664 3004580 3243179 3605496 4506870 6009160 6486358 7210992 9013740 9729537 12018320 12972716 16215895 18027480 19459074 25945432 32431790 36054960 38918148 48647685 51890864 55134043 64863580 77836296 97295370 110268086 129727160 155672592 165402129 194590740 220536172 259454320 275670215 330804258 389181480 441072344 551340430 661608516 778362960 827010645 882144688 1102680860 1323217032 1654021290 2205361720 2646434064 3308042580 4410723440 6616085160 13232170320