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522124421225 = 521110118798359
BaseRepresentation
bin1111001100100010000…
…10100110100001101001
31211220200202012202112212
413212101002212201221
532023302322434400
61035505522214505
752502505232211
oct7462102464151
91756622182485
10522124421225
11191482695640
12852364b4435
133a30b9b4194
141b3b1711241
15d8ad13c335
hex79910a6869

522124421225 has 24 divisors (see below), whose sum is σ = 713284971840. Its totient is φ = 375967160000.

The previous prime is 522124421219. The next prime is 522124421237.

522124421225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 522124421225 - 210 = 522124420201 is a prime.

It is a super-2 number, since 2×5221244212252 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 522124421191 and 522124421200.

It is an unprimeable number.

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, 9371405 + ... + 9426954.

It is an arithmetic number, because the mean of its divisors is an integer number (29720207160).

Almost surely, 2522124421225 is an apocalyptic number.

522124421225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

522124421225 is a deficient number, since it is larger than the sum of its proper divisors (191160550615).

522124421225 is a wasteful number, since it uses less digits than its factorization.

522124421225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18798481 (or 18798476 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

It can be divided in two parts, 522124 and 421225, that added together give a palindrome (943349).

The spelling of 522124421225 in words is "five hundred twenty-two billion, one hundred twenty-four million, four hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 101 275 505 1111 2525 5555 27775 18798359 93991795 206781949 469958975 1033909745 1898634259 5169548725 9493171295 20884976849 47465856475 104424884245 522124421225