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420331133025 = 32526211300779
BaseRepresentation
bin1100001110111011011…
…00000001100001100001
31111011221121011221100200
412013131230001201201
523341314232224100
6521033014535413
742240124452216
oct6073554014141
91434847157320
10420331133025
11152296a6a581
1269568067569
13308387c467b
14164b6443b0d
15ae01772e00
hex61ddb01861

420331133025 has 36 divisors (see below), whose sum is σ = 752983480080. Its totient is φ = 224139765600.

The previous prime is 420331133021. The next prime is 420331133081. The reversal of 420331133025 is 520331133024.

420331133025 is a `hidden beast` number, since 4 + 20 + 331 + 1 + 3 + 302 + 5 = 666.

It is not a de Polignac number, because 420331133025 - 22 = 420331133021 is a prime.

It is a super-2 number, since 2×4203311330252 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420331133025.

It is not an unprimeable number, because it can be changed into a prime (420331133021) 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 35 ways as a sum of consecutive naturals, for example, 1247086 + ... + 1547864.

It is an arithmetic number, because the mean of its divisors is an integer number (20916207780).

Almost surely, 2420331133025 is an apocalyptic number.

420331133025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420331133025 is a deficient number, since it is larger than the sum of its proper divisors (332652347055).

420331133025 is a wasteful number, since it uses less digits than its factorization.

420331133025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307006 (or 306998 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 420331133025 its reverse (520331133024), we get a palindrome (940662266049).

Subtracting 420331133025 from its reverse (520331133024), we obtain a palindrome (99999999999).

The spelling of 420331133025 in words is "four hundred twenty billion, three hundred thirty-one million, one hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6211 18633 31055 55899 93165 155275 279495 300779 465825 902337 1397475 1503895 2707011 4511685 7519475 13535055 22558425 67675275 1868138369 5604415107 9340691845 16813245321 28022075535 46703459225 84066226605 140110377675 420331133025