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11286127034 = 27131931127829
BaseRepresentation
bin10101000001011010…
…01010000110111010
31002010112211122201222
422200231022012322
5141103222031114
65103524512042
7546452332310
oct124055120672
932115748658
1011286127034
1148717a7316
12222b84b622
1310ab2a8aa0
14790cb20b0
15460c5c98e
hex2a0b4a1ba

11286127034 has 128 divisors (see below), whose sum is σ = 22845849600. Its totient is φ = 4056272640.

The previous prime is 11286127007. The next prime is 11286127037. The reversal of 11286127034 is 43072168211.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11286126985 and 11286127003.

It is not an unprimeable number, because it can be changed into a prime (11286127037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13613732 + ... + 13614560.

It is an arithmetic number, because the mean of its divisors is an integer number (178483200).

Almost surely, 211286127034 is an apocalyptic number.

11286127034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11286127034 is an abundant number, since it is smaller than the sum of its proper divisors (11559722566).

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

11286127034 is a wasteful number, since it uses less digits than its factorization.

11286127034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 11286127034 in words is "eleven billion, two hundred eighty-six million, one hundred twenty-seven thousand, thirty-four".

Divisors: 1 2 7 13 14 19 26 31 38 62 91 127 133 182 217 247 254 266 403 434 494 589 806 829 889 1178 1651 1658 1729 1778 2413 2821 3302 3458 3937 4123 4826 5642 5803 7657 7874 8246 10777 11557 11606 15314 15751 16891 21554 23114 25699 27559 31369 31502 33782 51181 51398 53599 55118 62738 74803 75439 102362 105283 107198 110257 149606 150878 179893 204763 210566 219583 220514 334087 358267 359786 409526 439166 488281 523621 668174 716534 736981 972439 976562 1047242 1368679 1433341 1473962 1944878 2000377 2338609 2737358 2866682 3263773 3417967 4000754 4677218 6347653 6527546 6807073 6835934 9580753 12695306 13614146 14002639 19161506 22846411 26004901 28005278 42429049 44433571 45692822 52009802 62011687 84858098 88867142 124023374 182034307 297003343 364068614 434081809 594006686 806151931 868163618 1612303862 5643063517 11286127034