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21410310420 = 2234513216241
BaseRepresentation
bin10011111100001001…
…110110100100010100
32001021010021110110000
4103330021312210110
5322322014413140
613500305131300
71355365431042
oct237411664424
961233243400
1021410310420
119097620124
124196329b30
132032926345
14107171d392
1585499aa30
hex4fc276914

21410310420 has 60 divisors (see below), whose sum is σ = 67164941844. Its totient is φ = 5709415680.

The previous prime is 21410310419. The next prime is 21410310421. The reversal of 21410310420 is 2401301412.

21410310420 is a `hidden beast` number, since 214 + 1 + 0 + 31 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (21410310419) and next prime (21410310421).

It can be written as a sum of positive squares in 2 ways, for example, as 2270141316 + 19140169104 = 47646^2 + 138348^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21410310393 and 21410310402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21410310421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6606501 + ... + 6609740.

Almost surely, 221410310420 is an apocalyptic number.

21410310420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21410310420 is an abundant number, since it is smaller than the sum of its proper divisors (45754631424).

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

21410310420 is a wasteful number, since it uses less digits than its factorization.

21410310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13216262 (or 13216251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21410310420 its reverse (2401301412), we get a palindrome (23811611832).

The spelling of 21410310420 in words is "twenty-one billion, four hundred ten million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 13216241 26432482 39648723 52864964 66081205 79297446 118946169 132162410 158594892 198243615 237892338 264324820 356838507 396487230 475784676 594730845 713677014 792974460 1070515521 1189461690 1427354028 1784192535 2141031042 2378923380 3568385070 4282062084 5352577605 7136770140 10705155210 21410310420