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21130143300336 = 2437239934328163
BaseRepresentation
bin1001100110111101111101…
…01011110111101011110000
32202211000121000110120212110
410303132332223313223300
510232144013141102321
6112535015343125320
74310413435412340
oct463367653675360
982730530416773
1021130143300336
116807275038794
1224531b62a3840
13ba37440486a5
145309c0bd2d20
1526999bd1a176
hex1337beaf7af0

21130143300336 has 160 divisors (see below), whose sum is σ = 62654184161280. Its totient is φ = 6011066702592.

The previous prime is 21130143300251. The next prime is 21130143300379. The reversal of 21130143300336 is 63300334103112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750266191 + ... + 750294353.

It is an arithmetic number, because the mean of its divisors is an integer number (391588651008).

Almost surely, 221130143300336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130143300336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31327092080640).

21130143300336 is an abundant number, since it is smaller than the sum of its proper divisors (41524040860944).

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

21130143300336 is a wasteful number, since it uses less digits than its factorization.

21130143300336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37763 (or 37757 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 21130143300336 its reverse (63300334103112), we get a palindrome (84430477403448).

The spelling of 21130143300336 in words is "twenty-one trillion, one hundred thirty billion, one hundred forty-three million, three hundred thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 478 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 9343 10038 11472 13384 18686 20076 26768 28029 28163 37372 40152 56058 56326 65401 74744 80304 84489 112116 112652 130802 149488 168978 196203 197141 224232 225304 261604 337956 392406 394282 448464 450608 523208 591423 675912 784812 788564 1046416 1182846 1351824 1569624 1577128 2232977 2365692 3139248 3154256 4465954 4731384 6698931 6730957 8931908 9462768 13397862 13461914 15630839 17863816 20192871 26795724 26923828 31261678 35727632 40385742 46892517 47116699 53591448 53847656 62523356 80771484 93785034 94233398 107182896 107695312 125046712 141350097 161542968 187570068 188466796 250093424 263126909 282700194 323085936 375140136 376933592 526253818 565400388 750280272 753867184 789380727 1052507636 1130800776 1578761454 1841888363 2105015272 2261601552 3157522908 3683776726 4210030544 5525665089 6315045816 7367553452 11051330178 12630091632 14735106904 22102660356 29470213808 44205320712 62887331251 88410641424 125774662502 188661993753 251549325004 377323987506 440211318757 503098650008 754647975012 880422637514 1006197300016 1320633956271 1509295950024 1760845275028 2641267912542 3018591900048 3521690550056 5282535825084 7043381100112 10565071650168 21130143300336