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13322331330 = 23571137915217
BaseRepresentation
bin11000110100001001…
…01010010011000010
31021101110022112220220
430122010222103002
5204241004100310
610041543443510
7651065643060
oct143204522302
937343275826
1013322331330
115717121790
1226b9756596
1313440bb0b9
149054b3030
1552e8c2670
hex31a12a4c2

13322331330 has 128 divisors (see below), whose sum is σ = 39970990080. Its totient is φ = 2760791040.

The previous prime is 13322331301. The next prime is 13322331353. The reversal of 13322331330 is 3313322331.

It is a self number, because there is not a number n which added to its sum of digits gives 13322331330.

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, 867882 + ... + 883098.

It is an arithmetic number, because the mean of its divisors is an integer number (312273360).

Almost surely, 213322331330 is an apocalyptic number.

13322331330 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 13322331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19985495040).

13322331330 is an abundant number, since it is smaller than the sum of its proper divisors (26648658750).

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

13322331330 is a wasteful number, since it uses less digits than its factorization.

13322331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15624.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13322331330 its reverse (3313322331), we get a palindrome (16635653661).

The spelling of 13322331330 in words is "thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 379 385 462 758 770 1137 1155 1895 2274 2310 2653 3790 4169 5306 5685 7959 8338 11370 12507 13265 15217 15918 20845 25014 26530 29183 30434 39795 41690 45651 58366 62535 76085 79590 87549 91302 106519 125070 145915 152170 167387 175098 213038 228255 291830 319557 334774 437745 456510 502161 532595 639114 836935 875490 1004322 1065190 1171709 1597785 1673870 2343418 2510805 3195570 3515127 5021610 5767243 5858545 7030254 11534486 11717090 17301729 17575635 28836215 34603458 35151270 40370701 57672430 63439673 80741402 86508645 121112103 126879346 173017290 190319019 201853505 242224206 317198365 380638038 403707010 444077711 605560515 634396730 888155422 951595095 1211121030 1332233133 1903190190 2220388555 2664466266 4440777110 6661165665 13322331330