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21224354005341 = 331964176983933
BaseRepresentation
bin1001101001101101011100…
…00101001100000101011101
32210011000202201112021101000
410310312232011030011131
510240214434111132331
6113050200021340513
74320260164243644
oct464665605140535
983130681467330
1021224354005341
11684321a577873
122469509267739
13bac5a9324096
1453539b01235b
1526c162b8d0e6
hex134dae14c15d

21224354005341 has 64 divisors (see below), whose sum is σ = 33193546848000. Its totient is φ = 13366379151360.

The previous prime is 21224354005331. The next prime is 21224354005373. The reversal of 21224354005341 is 14350045342212.

It is a happy number.

21224354005341 is a `hidden beast` number, since 2 + 1 + 2 + 24 + 3 + 540 + 0 + 53 + 41 = 666.

It is not a de Polignac number, because 21224354005341 - 215 = 21224353972573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21224354005296 and 21224354005305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21224354005331) 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, 252830611 + ... + 252914543.

It is an arithmetic number, because the mean of its divisors is an integer number (518649169500).

Almost surely, 221224354005341 is an apocalyptic number.

It is an amenable number.

21224354005341 is a deficient number, since it is larger than the sum of its proper divisors (11969192842659).

21224354005341 is a wasteful number, since it uses less digits than its factorization.

21224354005341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85371 (or 85365 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 21224354005341 its reverse (14350045342212), we get a palindrome (35574399347553).

The spelling of 21224354005341 in words is "twenty-one trillion, two hundred twenty-four billion, three hundred fifty-four million, five thousand, three hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 641 769 1923 2307 5769 6921 12179 14611 17307 20763 36537 43833 83933 109611 131499 251799 328833 394497 492929 755397 1478787 1594727 2266191 4436361 4784181 9365651 13309083 14352543 28096953 43057629 53801053 64544477 84290859 161403159 193633431 252872577 484209477 580900293 1022220007 1226345063 1452628431 1742700879 3066660021 3679035189 9199980063 11037105567 27599940189 33111316701 41373009757 124119029271 372357087813 786087185383 1117071263439 2358261556149 7074784668447 21224354005341