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13127041783141 = 11213611391915153
BaseRepresentation
bin1011111100000110000010…
…1010011001010101100101
31201110221012010000210020221
42333001200222121111211
53210033140144030031
643530251342524341
72523253222055656
oct277014052312545
951427163023227
1013127041783141
114201168957800
1215801378966b1
13742b4aa17a70
143354d068352d
1517b6e795ba11
hexbf060a99565

13127041783141 has 96 divisors (see below), whose sum is σ = 15993556346880. Its totient is φ = 10698766848000.

The previous prime is 13127041783099. The next prime is 13127041783147. The reversal of 13127041783141 is 14138714072131.

It is not a de Polignac number, because 13127041783141 - 27 = 13127041783013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13127041783147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2547453621 + ... + 2547458773.

It is an arithmetic number, because the mean of its divisors is an integer number (166599545280).

Almost surely, 213127041783141 is an apocalyptic number.

13127041783141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13127041783141 is a deficient number, since it is larger than the sum of its proper divisors (2866514563739).

13127041783141 is a wasteful number, since it uses less digits than its factorization.

13127041783141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 13127041783141 in words is "thirteen trillion, one hundred twenty-seven billion, forty-one million, seven hundred eighty-three thousand, one hundred forty-one".

Divisors: 1 11 13 61 121 139 143 191 671 793 1529 1573 1807 2101 2483 5153 7381 8479 8723 11651 16819 19877 23111 26549 27313 56683 66989 93269 95953 110227 128161 151463 218647 292039 300443 314333 345137 623513 716267 736879 984223 1025959 1212497 1409771 1619489 1666093 3212429 3457663 3796507 4086329 7878937 8105669 9311471 10826453 12794899 13337467 17814379 18327023 21053357 38034293 41761577 43692287 44949619 60037603 86668307 102426181 119090983 136806997 140743889 195958169 231586927 480615157 494445809 567999731 660413633 780488839 1126687991 1504876967 1548182779 1778490961 2547456197 5286766727 6247997041 7264549963 8345226817 8585377229 16553646637 19563400571 68727967451 91797494987 94439149519 108487948621 215197406281 1009772444857 1193367434831 13127041783141