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13140343221210 = 23252944101114161
BaseRepresentation
bin1011111100110111100101…
…1111010110101111011010
31201112012112010000212000100
42333031321133112233122
53210242410331034320
643540331302520230
72524233645322542
oct277157137265732
951465463025010
1013140343221210
1142068741a9027
12158282a436076
1374418a69bc8a
14335dd3078322
1517bc255a3790
hexbf3797d6bda

13140343221210 has 96 divisors (see below), whose sum is σ = 35344103118480. Its totient is φ = 3383154432000.

The previous prime is 13140343221197. The next prime is 13140343221281. The reversal of 13140343221210 is 1212234304131.

13140343221210 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 3 + 432 + 212 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12651402448161 + 488940773049 = 3556881^2 + 699243^2 .

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, 115046530 + ... + 115160690.

Almost surely, 213140343221210 is an apocalyptic number.

13140343221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13140343221210 is an abundant number, since it is smaller than the sum of its proper divisors (22203759897270).

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

13140343221210 is a wasteful number, since it uses less digits than its factorization.

13140343221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158304 (or 158301 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13140343221210 its reverse (1212234304131), we get a palindrome (14352577525341).

The spelling of 13140343221210 in words is "thirteen trillion, one hundred forty billion, three hundred forty-three million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 44101 88202 114161 132303 220505 228322 264606 342483 396909 441010 570805 661515 684966 793818 1027449 1141610 1278929 1323030 1712415 1984545 2054898 2557858 3310669 3424830 3836787 3969090 5137245 6394645 6621338 7673574 9932007 10274490 11510361 12789290 16553345 19183935 19864014 23020722 29796021 33106690 38367870 49660035 57551805 59592042 99320070 115103610 148980105 297960210 5034614261 10069228522 15103842783 25173071305 30207685566 45311528349 50346142610 75519213915 90623056698 146003813569 151038427830 226557641745 292007627138 438011440707 453115283490 730019067845 876022881414 1314034322121 1460038135690 2190057203535 2628068644242 4380114407070 6570171610605 13140343221210