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1303103131120 = 245717461296921
BaseRepresentation
bin10010111101100110111…
…111111100110111110000
311121120112111102211212101
4102331212333330313300
5132322223400143440
62434345354310144
7163101052600030
oct22754677746760
94546474384771
101303103131120
1146270882256a
12190672728354
1395b60c7a6bb
14470db7598c0
1523d6b58b69a
hex12f66ffcdf0

1303103131120 has 160 divisors (see below), whose sum is σ = 3674174587776. Its totient is φ = 419583590400.

The previous prime is 1303103131111. The next prime is 1303103131151. The reversal of 1303103131120 is 211313013031.

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, 4240260 + ... + 4537180.

Almost surely, 21303103131120 is an apocalyptic number.

1303103131120 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 1303103131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837087293888).

1303103131120 is an abundant number, since it is smaller than the sum of its proper divisors (2371071456656).

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

1303103131120 is a wasteful number, since it uses less digits than its factorization.

1303103131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297419 (or 297413 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1303103131120 its reverse (211313013031), we get a palindrome (1514416144151).

The spelling of 1303103131120 in words is "one trillion, three hundred three billion, one hundred three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 461 476 560 595 680 922 952 1190 1360 1844 1904 2305 2380 3227 3688 4610 4760 6454 7376 7837 9220 9520 12908 15674 16135 18440 25816 31348 32270 36880 39185 51632 54859 62696 64540 78370 109718 125392 129080 156740 219436 258160 274295 296921 313480 438872 548590 593842 626960 877744 1097180 1187684 1484605 2078447 2194360 2375368 2969210 4156894 4388720 4750736 5047657 5938420 8313788 10095314 10392235 11876840 16627576 20190628 20784470 23753680 25238285 33255152 35333599 40381256 41568940 50476570 70667198 80762512 83137880 100953140 136880581 141334396 166275760 176667995 201906280 273761162 282668792 353335990 403812560 547522324 565337584 684402905 706671980 958164067 1095044648 1368805810 1413343960 1916328134 2190089296 2326969877 2737611620 2826687920 3832656268 4653939754 4790820335 5475223240 7665312536 9307879508 9581640670 10950446480 11634849385 15330625072 16288789139 18615759016 19163281340 23269698770 32577578278 37231518032 38326562680 46539397540 65155156556 76653125360 81443945695 93078795080 130310313112 162887891390 186157590160 260620626224 325775782780 651551565560 1303103131120