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21421020420 = 22325773153953
BaseRepresentation
bin10011111100110010…
…101101010100000100
32001021212102120210200
4103330302231110010
5322332240123140
613501330450500
71355555445402
oct237462552404
961255376720
1021421020420
1190a2675768
124199a33a30
132034c06117
141072d0a472
158558b4030
hex4fccad504

21421020420 has 72 divisors (see below), whose sum is σ = 65061576216. Its totient is φ = 5704845312.

The previous prime is 21421020373. The next prime is 21421020427. The reversal of 21421020420 is 2402012412.

21421020420 is a `hidden beast` number, since 2 + 14 + 210 + 20 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3339915264 + 18081105156 = 57792^2 + 134466^2 .

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 = 21421020393 and 21421020402.

It is not an unprimeable number, because it can be changed into a prime (21421020427) 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 23 ways as a sum of consecutive naturals, for example, 62164 + ... + 216116.

It is an arithmetic number, because the mean of its divisors is an integer number (903633003).

Almost surely, 221421020420 is an apocalyptic number.

21421020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21421020420 is an abundant number, since it is smaller than the sum of its proper divisors (43640555796).

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

21421020420 is a wasteful number, since it uses less digits than its factorization.

21421020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154741 (or 154736 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21421020420 its reverse (2402012412), we get a palindrome (23823032832).

The spelling of 21421020420 in words is "twenty-one billion, four hundred twenty-one million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 773 1546 2319 3092 3865 4638 6957 7730 9276 11595 13914 15460 23190 27828 34785 46380 69570 139140 153953 307906 461859 615812 769765 923718 1385577 1539530 1847436 2309295 2771154 3079060 4618590 5542308 6927885 9237180 13855770 27711540 119005669 238011338 357017007 476022676 595028345 714034014 1071051021 1190056690 1428068028 1785085035 2142102042 2380113380 3570170070 4284204084 5355255105 7140340140 10710510210 21421020420