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321041226025 = 521322323792
BaseRepresentation
bin1001010101111111000…
…11000101100100101001
31010200122220201001120201
410222333203011210221
520224443023213100
6403252335352201
732123462252542
oct4527743054451
91120586631521
10321041226025
111141754478a3
1252278082661
1324374149300
14117778274c9
15853ea5136a
hex4abf8c5929

321041226025 has 81 divisors (see below), whose sum is σ = 451818216549. Its totient is φ = 226170584640.

The previous prime is 321041225993. The next prime is 321041226029. The reversal of 321041226025 is 520622140123.

The square root of 321041226025 is 566605.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 82748850921 + 238292375104 = 287661^2 + 488152^2 .

It is not a de Polignac number, because 321041226025 - 25 = 321041225993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321041225984 and 321041226002.

It is not an unprimeable number, because it can be changed into a prime (321041226029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 847074286 + ... + 847074664.

Almost surely, 2321041226025 is an apocalyptic number.

321041226025 is the 566605-th square number.

321041226025 is the 283303-rd centered octagonal number.

It is an amenable number.

321041226025 is a deficient number, since it is larger than the sum of its proper divisors (130776990524).

321041226025 is an equidigital number, since it uses as much as digits as its factorization.

321041226025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 321041226025 its reverse (520622140123), we get a palindrome (841663366148).

The spelling of 321041226025 in words is "three hundred twenty-one billion, forty-one million, two hundred twenty-six thousand, twenty-five".

Divisors: 1 5 13 23 25 65 115 169 299 325 379 529 575 845 1495 1895 2645 3887 4225 4927 6877 7475 8717 9475 13225 19435 24635 34385 43585 64051 89401 97175 113321 123175 143641 171925 200491 217925 320255 447005 566605 718205 1002455 1473173 1601275 1867333 2235025 2606383 2833025 3303743 3591025 5012275 7365865 9336665 13031915 16518715 24275329 33882979 36829325 42948659 46683325 65159575 75986089 82593575 121376645 169414895 214743295 379930445 558332567 606883225 847074475 987819157 1073716475 1899652225 2791662835 4939095785 12841649041 13958314175 24695478925 64208245205 321041226025