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205303211425 = 52131031361253
BaseRepresentation
bin1011111100110100000…
…1100110010110100001
3201121220221012201221101
42333031001212112201
511330430110231200
6234152012154401
720555414334544
oct2771501462641
9647827181841
10205303211425
117a083346464
1233957768a01
131648ac314c0
149d1855085b
155518d2126a
hex2fcd0665a1

205303211425 has 24 divisors (see below), whose sum is σ = 274189810104. Its totient is φ = 151591349760.

The previous prime is 205303211411. The next prime is 205303211429. The reversal of 205303211425 is 524112303502.

205303211425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 144948479841 + 60354731584 = 380721^2 + 245672^2 .

It is not a de Polignac number, because 205303211425 - 27 = 205303211297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205303211393 and 205303211402.

It is not an unprimeable number, because it can be changed into a prime (205303211429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3321099 + ... + 3382351.

It is an arithmetic number, because the mean of its divisors is an integer number (11424575421).

Almost surely, 2205303211425 is an apocalyptic number.

205303211425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205303211425 is a deficient number, since it is larger than the sum of its proper divisors (68886598679).

205303211425 is a wasteful number, since it uses less digits than its factorization.

205303211425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71589 (or 71584 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 205303211425 its reverse (524112303502), we get a palindrome (729415514927).

The spelling of 205303211425 in words is "two hundred five billion, three hundred three million, two hundred eleven thousand, four hundred twenty-five".

Divisors: 1 5 13 25 65 325 10313 51565 61253 134069 257825 306265 670345 796289 1531325 3351725 3981445 19907225 631702189 3158510945 8212128457 15792554725 41060642285 205303211425