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13311134303312 = 2437792398231447
BaseRepresentation
bin1100000110110011110101…
…1011101000010001010000
31202010112100211120202202202
43001230331123220101100
53221042200340201222
644151014540302332
72542461213502526
oct301547533502120
952115324522682
1013311134303312
11427224732595a
1215ab953b419a8
137573084a5a81
14340395bd8316
151813be5b3892
hexc1b3d6e8450

13311134303312 has 160 divisors (see below), whose sum is σ = 26986234675200. Its totient is φ = 6354833232384.

The previous prime is 13311134303303. The next prime is 13311134303317. The reversal of 13311134303312 is 21330343111331.

It is a happy number.

It is a super-2 number, since 2×133111343033122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311134303317) 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, 9199124573 + ... + 9199126019.

It is an arithmetic number, because the mean of its divisors is an integer number (168663966720).

Almost surely, 213311134303312 is an apocalyptic number.

It is an amenable number.

13311134303312 is an abundant number, since it is smaller than the sum of its proper divisors (13675100371888).

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

13311134303312 is a wasteful number, since it uses less digits than its factorization.

13311134303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 13311134303312 its reverse (21330343111331), we get a palindrome (34641477414643).

The spelling of 13311134303312 in words is "thirteen trillion, three hundred eleven billion, one hundred thirty-four million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 37 74 79 148 158 239 296 316 478 592 632 823 956 1264 1447 1646 1912 2894 2923 3292 3824 5788 5846 6584 8843 11576 11692 13168 17686 18881 23152 23384 30451 35372 37762 46768 53539 60902 65017 70744 75524 107078 114313 121804 130034 141488 151048 196697 214156 228626 243608 260068 302096 345833 393394 428312 457252 487216 520136 691666 698597 786788 856624 914504 1040272 1190881 1383332 1397194 1573576 1829008 2381762 2405629 2766664 2794388 3147152 4229581 4763524 4811258 5533328 5588776 7277789 8459162 9527048 9622516 11177552 12795821 14555578 15539063 16918324 19054096 19245032 25591642 27320807 29111156 31078126 33836648 38490064 44062597 51183284 54641614 58222312 62156252 67673296 88125194 94079599 102366568 109283228 116444624 124312504 176250388 188159198 204733136 218566456 248625008 284620559 352500776 376318396 437132912 569241118 574945331 705001552 752636792 1010869859 1138482236 1149890662 1505273584 2021739718 2276964472 2299781324 3480945163 4043479436 4553928944 4599562648 6961890326 8086958872 9199125296 10530960683 13923780652 16173917744 21061921366 22485024161 27847561304 42123842732 44970048322 55695122608 84247685464 89940096644 168495370928 179880193288 359760386576 831945893957 1663891787914 3327783575828 6655567151656 13311134303312