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420011110025 = 52132953840821
BaseRepresentation
bin1100001110010101001…
…11001110111010001001
31111011010022000002022222
412013022213032322021
523340140321010100
6520541143423425
742226160346443
oct6071247167211
91434108002288
10420011110025
1115214235a561
1269498a54b75
13307b7405b50
1416485b3b493
15add360b485
hex61ca9cee89

420011110025 has 48 divisors (see below), whose sum is σ = 591165131760. Its totient is φ = 293816140800.

The previous prime is 420011110009. The next prime is 420011110061. The reversal of 420011110025 is 520011110024.

It can be written as a sum of positive squares in 24 ways, for example, as 304460064841 + 115551045184 = 551779^2 + 339928^2 .

It is not a de Polignac number, because 420011110025 - 24 = 420011110009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420011109985 and 420011110012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79115 + ... + 919935.

It is an arithmetic number, because the mean of its divisors is an integer number (12315940245).

Almost surely, 2420011110025 is an apocalyptic number.

It is an amenable number.

420011110025 is a deficient number, since it is larger than the sum of its proper divisors (171154021735).

420011110025 is a wasteful number, since it uses less digits than its factorization.

420011110025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840926 (or 840921 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 420011110025 its reverse (520011110024), we get a palindrome (940022220049).

Subtracting 420011110025 from its reverse (520011110024), we obtain a palindrome (99999999999).

The spelling of 420011110025 in words is "four hundred twenty billion, eleven million, one hundred ten thousand, twenty-five".

Divisors: 1 5 13 25 29 53 65 145 265 325 377 689 725 1325 1537 1885 3445 7685 9425 17225 19981 38425 99905 499525 840821 4204105 10930673 21020525 24383809 44563513 54653365 121919045 222817565 273266825 316989517 579325669 609595225 1114087825 1292341877 1584947585 2896628345 6461709385 7924737925 14483141725 16800444401 32308546925 84002222005 420011110025