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21343310240 = 255722722361
BaseRepresentation
bin10011111000001010…
…010001000110100000
32001002110012111110212
4103320022101012200
5322202341411430
613445513113252
71353623100200
oct237012210640
961073174425
1021343310240
11906281897a
1241779b8828
132021a98075
14106687c400
1584db63b95
hex4f82911a0

21343310240 has 72 divisors (see below), whose sum is σ = 58656011652. Its totient is φ = 7317703680.

The previous prime is 21343310237. The next prime is 21343310243. The reversal of 21343310240 is 4201334312.

It is an interprime number because it is at equal distance from previous prime (21343310237) and next prime (21343310243).

It can be written as a sum of positive squares in 2 ways, for example, as 20399837584 + 943472656 = 142828^2 + 30716^2 .

It is not an unprimeable number, because it can be changed into a prime (21343310243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1353341 + ... + 1369020.

Almost surely, 221343310240 is an apocalyptic number.

21343310240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21343310240 is an abundant number, since it is smaller than the sum of its proper divisors (37312701412).

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

21343310240 is a wasteful number, since it uses less digits than its factorization.

21343310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722390 (or 2722375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 21343310240 its reverse (4201334312), we get a palindrome (25544644552).

The spelling of 21343310240 in words is "twenty-one billion, three hundred forty-three million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 2722361 5444722 10889444 13611805 19056527 21778888 27223610 38113054 43557776 54447220 76226108 87115552 95282635 108894440 133395689 152452216 190565270 217788880 266791378 304904432 381130540 435577760 533582756 609808864 666978445 762261080 1067165512 1333956890 1524522160 2134331024 2667913780 3049044320 4268662048 5335827560 10671655120 21343310240