Search a number
-
+
1349320987105 = 5713317910711317
BaseRepresentation
bin10011101000101001110…
…011000101000111100001
311202222211111111012021021
4103220221303011013201
5134101402133041410
62511511451325441
7166325301102610
oct23505163050741
94688744435237
101349320987105
1148027557a863
12199610a50881
139a318295590
1449443a45877
1525173d90eda
hex13a29cc51e1

1349320987105 has 128 divisors (see below), whose sum is σ = 2102822830080. Its totient is φ = 808364344320.

The previous prime is 1349320987103. The next prime is 1349320987151. The reversal of 1349320987105 is 5017890239431.

It is not a de Polignac number, because 1349320987105 - 21 = 1349320987103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1349320987103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119223907 + ... + 119235223.

It is an arithmetic number, because the mean of its divisors is an integer number (16428303360).

Almost surely, 21349320987105 is an apocalyptic number.

It is an amenable number.

1349320987105 is a deficient number, since it is larger than the sum of its proper divisors (753501842975).

1349320987105 is a wasteful number, since it uses less digits than its factorization.

1349320987105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559.

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 1349320987105 in words is "one trillion, three hundred forty-nine billion, three hundred twenty million, nine hundred eighty-seven thousand, one hundred five".

Divisors: 1 5 7 13 31 35 65 79 91 107 155 217 395 403 455 535 553 749 1027 1085 1391 2015 2449 2765 2821 3317 3745 5135 6955 7189 8453 9737 11317 12245 14105 16585 17143 23219 31837 35945 42265 43121 48685 56585 59171 79219 85715 109889 116095 147121 159185 215605 222859 262043 295855 301847 350827 396095 549445 735605 769223 894043 1029847 1114295 1210919 1310215 1509235 1754135 1834301 2455789 3406559 3846115 4470215 4560751 5149235 6054595 6258301 8476433 9171505 11622559 12278945 15741947 17032795 22803755 23845913 27715333 31291505 31925257 37538489 42382165 58112795 78709735 81357913 95662601 110193629 119229565 138576665 159626285 187692445 194007331 262769423 360299329 406789565 478313005 488000357 550968145 669638207 970036655 1243613813 1313847115 1801496645 2440001785 2522095303 2965540631 3348191035 3416002499 6218069065 8705296691 12610476515 14827703155 17080012495 20758784417 38552028203 43526483455 103793922085 192760141015 269864197421 1349320987105