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21240343332 = 223213229319793
BaseRepresentation
bin10011110010000001…
…011110101100100100
32000211021110020102200
4103302001132230210
5322000011441312
613431354134500
71351232640135
oct236201365444
960737406380
1021240343332
11900a69035a
124149421430
132006655cc0
141056d17c8c
15844ac50dc
hex4f205eb24

21240343332 has 72 divisors (see below), whose sum is σ = 57849073464. Its totient is φ = 6532310016.

The previous prime is 21240343331. The next prime is 21240343349. The reversal of 21240343332 is 23334304212.

21240343332 is a `hidden beast` number, since 212 + 403 + 43 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1323795456 + 19916547876 = 36384^2 + 141126^2 .

It is a super-2 number, since 2×212403433322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21240343296 and 21240343305.

It is not an unprimeable number, because it can be changed into a prime (21240343331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063228 + ... + 1083020.

Almost surely, 221240343332 is an apocalyptic number.

It is an amenable number.

21240343332 is an abundant number, since it is smaller than the sum of its proper divisors (36608730132).

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

21240343332 is a wasteful number, since it uses less digits than its factorization.

21240343332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22109 (or 22104 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 21240343332 its reverse (23334304212), we get a palindrome (44574647544).

The spelling of 21240343332 in words is "twenty-one billion, two hundred forty million, three hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2293 4586 6879 9172 13758 19793 20637 27516 29809 39586 41274 59379 59618 79172 82548 89427 118758 119236 178137 178854 237516 257309 268281 356274 357708 514618 536562 712548 771927 1029236 1073124 1543854 2315781 3087708 4631562 9263124 45385349 90770698 136156047 181541396 272312094 408468141 544624188 590009537 816936282 1180019074 1633872564 1770028611 2360038148 3540057222 5310085833 7080114444 10620171666 21240343332