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13122023211330 = 23511531017773721
BaseRepresentation
bin1011111011110011010110…
…0010000100000101000010
31201110110020100200220221220
42332330311202010011002
53204442400420230310
643524101345255510
72523014652651165
oct276746542040502
951413210626856
1013122023211330
1141aa0230154a0
12157b177034596
1374252b085b47
14335175d49adc
1517b502087670
hexbef35884142

13122023211330 has 128 divisors (see below), whose sum is σ = 35007980426496. Its totient is φ = 3120726835200.

The previous prime is 13122023211259. The next prime is 13122023211331. The reversal of 13122023211330 is 3311232022131.

It is a self number, because there is not a number n which added to its sum of digits gives 13122023211330.

It is not an unprimeable number, because it can be changed into a prime (13122023211331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177958870 + ... + 178032590.

It is an arithmetic number, because the mean of its divisors is an integer number (273499847082).

Almost surely, 213122023211330 is an apocalyptic number.

13122023211330 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 13122023211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503990213248).

13122023211330 is an abundant number, since it is smaller than the sum of its proper divisors (21885957215166).

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

13122023211330 is a wasteful number, since it uses less digits than its factorization.

13122023211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83972.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13122023211330 its reverse (3311232022131), we get a palindrome (16433255233461).

The spelling of 13122023211330 in words is "thirteen trillion, one hundred twenty-two billion, twenty-three million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 5830 8745 10177 17490 20354 30531 50885 61062 73721 101770 111947 147442 152655 221163 223894 305310 335841 368605 442326 539381 559735 671682 737210 810931 1078762 1105815 1119470 1618143 1621862 1679205 2211630 2432793 2696905 3236286 3358410 3907213 4054655 4865586 5393810 5933191 7814426 8090715 8109310 11721639 11866382 12163965 16181430 17799573 19536065 23443278 24327930 29665955 35599146 39072130 42979343 58608195 59331910 85958686 88997865 117216390 128938029 177995730 214896715 257876058 429793430 644690145 750258617 1289380290 1500517234 2250775851 3751293085 4501551702 7502586170 8252844787 11253879255 16505689574 22507758510 24758534361 39763706701 41264223935 49517068722 79527413402 82528447870 119291120103 123792671805 198818533505 238582240206 247585343610 397637067010 437400773711 596455600515 874801547422 1192911201030 1312202321133 2187003868555 2624404642266 4374007737110 6561011605665 13122023211330