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11021330466416 = 2417675209116101
BaseRepresentation
bin1010000001100001101001…
…1111001100011001110000
31110000121222110200122101002
42200120122133030121300
52421033141044411131
635235043533301132
72215156562151134
oct240303237143160
943017873618332
1011021330466416
11356a1357a5056
1212a00113347a8
1361c3cb64300a
142a161442d3c4
15141a541326cb
hexa061a7cc670

11021330466416 has 80 divisors (see below), whose sum is σ = 22952000040480. Its totient is φ = 5108073062400.

The previous prime is 11021330466413. The next prime is 11021330466457. The reversal of 11021330466416 is 61466403312011.

It is a super-3 number, since 3×110213304664163 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11021330466416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021330466413) 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 15 ways as a sum of consecutive naturals, for example, 94870766 + ... + 94986866.

It is an arithmetic number, because the mean of its divisors is an integer number (286900000506).

Almost surely, 211021330466416 is an apocalyptic number.

11021330466416 is a gapful number since it is divisible by the number (16) 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 11021330466416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11476000020240).

11021330466416 is an abundant number, since it is smaller than the sum of its proper divisors (11930669574064).

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

11021330466416 is a wasteful number, since it uses less digits than its factorization.

11021330466416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121402 (or 121396 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

Adding to 11021330466416 its reverse (61466403312011), we get a palindrome (72487733778427).

The spelling of 11021330466416 in words is "eleven trillion, twenty-one billion, three hundred thirty million, four hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 536 1072 1139 2278 4556 5209 9112 10418 18224 20836 41672 83344 88553 116101 177106 232202 349003 354212 464404 698006 708424 928808 1396012 1416848 1857616 1973717 2792024 3947434 5584048 5933051 7778767 7894868 11866102 15557534 15789736 23732204 31115068 31579472 47464408 62230136 94928816 124460272 132239039 264478078 528956156 604770109 1057912312 1209540218 2115824624 2419080436 4838160872 9676321744 10281091853 20562183706 40519597303 41124367412 81039194606 82248734824 162078389212 164497469648 324156778424 648313556848 688833154151 1377666308302 2755332616604 5510665233208 11021330466416