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13104334224120 = 23353372749117877
BaseRepresentation
bin1011111010110001011100…
…1011111011101011111000
31201101202120120202021021110
42332230113023323223320
53204200134030132440
643512014213040320
72521520422023666
oct276542713735370
951352516667243
1013104334224120
1141a25760495a7
12157785b0260a0
1374096c40abc9
1433437895bc36
1517ad19166080
hexbeb172fbaf8

13104334224120 has 128 divisors (see below), whose sum is σ = 39444336360000. Its totient is φ = 3482822762496.

The previous prime is 13104334224119. The next prime is 13104334224131. The reversal of 13104334224120 is 2142243340131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111110622 + ... + 111228498.

Almost surely, 213104334224120 is an apocalyptic number.

13104334224120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104334224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19722168180000).

13104334224120 is an abundant number, since it is smaller than the sum of its proper divisors (26340002135880).

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

13104334224120 is a wasteful number, since it uses less digits than its factorization.

13104334224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120977 (or 120973 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13104334224120 its reverse (2142243340131), we get a palindrome (15246577564251).

The spelling of 13104334224120 in words is "thirteen trillion, one hundred four billion, three hundred thirty-four million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 2749 3370 4044 5055 5498 6740 8088 8247 10110 10996 13480 13745 16494 20220 21992 27490 32988 40440 41235 54980 65976 82470 109960 117877 164940 235754 329880 353631 471508 589385 707262 926413 943016 1178770 1414524 1768155 1852826 2357540 2779239 2829048 3536310 3705652 4632065 4715080 5558478 7072620 7411304 9264130 11116956 13896195 14145240 18528260 22233912 27792390 37056520 39724549 55584780 79449098 111169560 119173647 158898196 198622745 238347294 317796392 324043873 397245490 476694588 595868235 648087746 794490980 953389176 972131619 1191736470 1296175492 1588981960 1620219365 1944263238 2383472940 2592350984 3240438730 3888526476 4766945880 4860658095 6480877460 7777052952 9721316190 12961754920 19442632380 38885264760 109202785201 218405570402 327608355603 436811140804 546013926005 655216711206 873622281608 1092027852010 1310433422412 1638041778015 2184055704020 2620866844824 3276083556030 4368111408040 6552167112060 13104334224120