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13021323232122 = 23210723350215779
BaseRepresentation
bin1011110101111100001101…
…0110001000001101111010
31201002211022101220221202100
42331133003112020031322
53201320132221411442
643405525135244230
72512521346156032
oct275370326101572
951084271827670
1013021323232122
114170348554687
121563752979676
13735ba054362a
14330341d588c2
15178aab68184c
hexbd7c358837a

13021323232122 has 96 divisors (see below), whose sum is σ = 28609401113280. Its totient is φ = 4279828389120.

The previous prime is 13021323232103. The next prime is 13021323232189. The reversal of 13021323232122 is 22123232312031.

13021323232122 is a `hidden beast` number, since 1 + 3 + 0 + 213 + 2 + 323 + 2 + 122 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253211029 + ... + 2253216807.

It is an arithmetic number, because the mean of its divisors is an integer number (298014594930).

Almost surely, 213021323232122 is an apocalyptic number.

13021323232122 is an abundant number, since it is smaller than the sum of its proper divisors (15588077881158).

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

13021323232122 is a wasteful number, since it uses less digits than its factorization.

13021323232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13021323232122 its reverse (22123232312031), we get a palindrome (35144555544153).

The spelling of 13021323232122 in words is "thirteen trillion, twenty-one billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 107 214 233 321 466 642 699 963 1398 1926 2097 4194 5021 5779 10042 11558 15063 17337 24931 30126 34674 45189 49862 52011 74793 90378 104022 149586 224379 448758 537247 618353 1074494 1169893 1236706 1346507 1611741 1855059 2339786 2693014 3223482 3509679 3710118 4039521 4835223 5565177 7019358 8079042 9670446 10529037 11130354 12118563 21058074 24237126 29016359 58032718 87049077 125178551 144076249 174098154 250357102 261147231 288152498 375535653 432228747 522294462 751071306 864457494 1126606959 1296686241 2253213918 2593372482 3104750413 6209500826 6760811647 9314251239 13521623294 18628502478 20282434941 27942753717 40564869882 55885507434 60847304823 121694609646 723406846229 1446813692458 2170220538687 4340441077374 6510661616061 13021323232122