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13233201330 = 23537193223277
BaseRepresentation
bin11000101001100001…
…01010000010110010
31021011020121021112210
430110300222002302
5204100144420310
610025041232550
7645634232616
oct142460520262
937136537483
1013233201330
115680885028
122693932756
13132b7b215b
148d7711346
15526b68820
hex314c2a0b2

13233201330 has 128 divisors (see below), whose sum is σ = 33052981248. Its totient is φ = 3388096512.

The previous prime is 13233201329. The next prime is 13233201341. The reversal of 13233201330 is 3310233231.

It is a junction number, because it is equal to n+sod(n) for n = 13233201297 and 13233201306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47773152 + ... + 47773428.

It is an arithmetic number, because the mean of its divisors is an integer number (258226416).

Almost surely, 213233201330 is an apocalyptic number.

13233201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13233201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526490624).

13233201330 is an abundant number, since it is smaller than the sum of its proper divisors (19819779918).

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

13233201330 is a wasteful number, since it uses less digits than its factorization.

13233201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13233201330 its reverse (3310233231), we get a palindrome (16543434561).

The spelling of 13233201330 in words is "thirteen billion, two hundred thirty-three million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 193 222 223 277 370 386 446 554 555 579 669 831 965 1110 1115 1158 1338 1385 1662 1930 2230 2770 2895 3345 4155 5790 6690 7141 8251 8310 10249 14282 16502 20498 21423 24753 30747 35705 41255 42846 43039 49506 51245 53461 61494 61771 71410 82510 86078 102490 106922 107115 123542 123765 129117 153735 160383 185313 214230 215195 247530 258234 267305 307470 308855 320766 370626 430390 534610 617710 645585 801915 926565 1291170 1592443 1603830 1853130 1978057 2285527 3184886 3956114 4571054 4777329 5934171 6856581 7962215 9554658 9890285 11427635 11868342 11921803 13713162 15924430 19780570 22855270 23843606 23886645 29670855 34282905 35765409 47773290 59341710 59609015 68565810 71530818 119218030 178827045 357654090 441106711 882213422 1323320133 2205533555 2646640266 4411067110 6616600665 13233201330