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421821125 = 531121672
BaseRepresentation
bin11001001001000…
…111101011000101
31002101201201210122
4121021013223011
51330441234000
6105505031325
713311264125
oct3111075305
91071651718
10421821125
111a711a500
12b9325545
13695118cb
1440044c85
1527074085
hex19247ac5

421821125 has 36 divisors (see below), whose sum is σ = 582126636. Its totient is φ = 304942000.

The previous prime is 421821121. The next prime is 421821131. The reversal of 421821125 is 521128124.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13498276 + 408322849 = 3674^2 + 20207^2 .

It is not a de Polignac number, because 421821125 - 22 = 421821121 is a prime.

It is a super-2 number, since 2×4218211252 = 355866122992531250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 421821094 and 421821103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421821121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2525792 + ... + 2525958.

Almost surely, 2421821125 is an apocalyptic number.

It is an amenable number.

421821125 is a deficient number, since it is larger than the sum of its proper divisors (160305511).

421821125 is an equidigital number, since it uses as much as digits as its factorization.

421821125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 183 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 421821125 is about 20538.2843733356. The cubic root of 421821125 is about 749.9680727150.

Multiplying 421821125 by its product of digits (1280), we get a square (539931040000 = 7348002).

Adding to 421821125 its reverse (521128124), we get a palindrome (942949249).

The spelling of 421821125 in words is "four hundred twenty-one million, eight hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 167 275 605 835 1375 1837 3025 4175 9185 15125 20207 20875 27889 45925 101035 139445 229625 306779 505175 697225 1533895 2525875 3374569 3486125 7669475 16872845 38347375 84364225 421821125