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13140310121120 = 255713902493827
BaseRepresentation
bin1011111100110111011110…
…0001000101101010100000
31201112012102210202012020002
42333031313201011222200
53210242323342333440
643540324121235132
72524233064063040
oct277156741055240
951465383665202
1013140310121120
114206857550486
12158281b332aa8
1374418387cc20
14335dcc8dd720
1517bc22716115
hexbf377845aa0

13140310121120 has 96 divisors (see below), whose sum is σ = 38207978702208. Its totient is φ = 4158691550208.

The previous prime is 13140310121111. The next prime is 13140310121171. The reversal of 13140310121120 is 2112101304131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13140310121092 and 13140310121101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451232354 + ... + 451261473.

It is an arithmetic number, because the mean of its divisors is an integer number (397999778148).

Almost surely, 213140310121120 is an apocalyptic number.

13140310121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140310121120 is an abundant number, since it is smaller than the sum of its proper divisors (25067668581088).

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

13140310121120 is a wasteful number, since it uses less digits than its factorization.

13140310121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902493862 (or 902493854 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13140310121120 its reverse (2112101304131), we get a palindrome (15252411425251).

The spelling of 13140310121120 in words is "thirteen trillion, one hundred forty billion, three hundred ten million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 902493827 1804987654 3609975308 4512469135 6317456789 7219950616 9024938270 11732419751 12634913578 14439901232 18049876540 23464839502 25269827156 28879802464 31587283945 36099753080 46929679004 50539654312 58662098755 63174567890 72199506160 82126938257 93859358008 101079308624 117324197510 126349135780 144399012320 164253876514 187718716016 202158617248 234648395020 252698271560 328507753028 375437432032 410634691285 469296790040 505396543120 657015506056 821269382570 938593580080 1010793086240 1314031012112 1642538765140 1877187160160 2628062024224 3285077530280 6570155060560 13140310121120