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13140122304120 = 23357115113590793
BaseRepresentation
bin1011111100110110110001…
…0100100111111001111000
31201112011221201100002201220
42333031230110213321320
53210241432302212440
643540253331512040
72524225323466440
oct277155424477170
951464851302656
1013140122304120
114206770529819
121582788458620
1374415399ccc6
14335db19ad120
1517bc10eb68d0
hexbf36c527e78

13140122304120 has 128 divisors (see below), whose sum is σ = 45090992701440. Its totient is φ = 3000846873600.

The previous prime is 13140122304119. The next prime is 13140122304137. The reversal of 13140122304120 is 2140322104131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5828557 + ... + 7762236.

It is an arithmetic number, because the mean of its divisors is an integer number (352273380480).

Almost surely, 213140122304120 is an apocalyptic number.

13140122304120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140122304120 is an abundant number, since it is smaller than the sum of its proper divisors (31950870397320).

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

13140122304120 is a wasteful number, since it uses less digits than its factorization.

13140122304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13591965 (or 13591961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13140122304120 its reverse (2140322104131), we get a palindrome (15280444408251).

The spelling of 13140122304120 in words is "thirteen trillion, one hundred forty billion, one hundred twenty-two million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1151 2302 3453 4604 5755 6906 8057 9208 11510 13812 16114 17265 23020 24171 27624 32228 34530 40285 46040 48342 64456 69060 80570 96684 120855 138120 161140 193368 241710 322280 483420 966840 13590793 27181586 40772379 54363172 67953965 81544758 95135551 108726344 135907930 163089516 190271102 203861895 271815860 285406653 326179032 380542204 407723790 475677755 543631720 570813306 761084408 815447580 951355510 1141626612 1427033265 1630895160 1902711020 2283253224 2854066530 3805422040 5708133060 11416266120 15643002743 31286005486 46929008229 62572010972 78215013715 93858016458 109501019201 125144021944 156430027430 187716032916 219002038402 234645041145 312860054860 328503057603 375432065832 438004076804 469290082290 547505096005 625720109720 657006115206 876008153608 938580164580 1095010192010 1314012230412 1642515288015 1877160329160 2190020384020 2628024460824 3285030576030 4380040768040 6570061152060 13140122304120