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203252100241 is a prime number
BaseRepresentation
bin1011110101001011000…
…1001110110010010001
3201102121222200111100111
42331102301032302101
511312230014201431
6233212301521321
720453530226551
oct2752261166221
9642558614314
10203252100241
117922056a253
1233484873241
1316222000048
149ba1d8d161
155448c147b1
hex2f52c4ec91

203252100241 has 2 divisors, whose sum is σ = 203252100242. Its totient is φ = 203252100240.

The previous prime is 203252100239. The next prime is 203252100287. The reversal of 203252100241 is 142001252302.

It is a happy number.

203252100241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172204250625 + 31047849616 = 414975^2 + 176204^2 .

It is a cyclic number.

It is not a de Polignac number, because 203252100241 - 21 = 203252100239 is a prime.

It is a super-2 number, since 2×2032521002412 (a number of 23 digits) contains 22 as substring.

Together with 203252100239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (203252100041) 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 as a sum of consecutive naturals, namely, 101626050120 + 101626050121.

It is an arithmetic number, because the mean of its divisors is an integer number (101626050121).

Almost surely, 2203252100241 is an apocalyptic number.

It is an amenable number.

203252100241 is a deficient number, since it is larger than the sum of its proper divisors (1).

203252100241 is an equidigital number, since it uses as much as digits as its factorization.

203252100241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 203252100241 its reverse (142001252302), we get a palindrome (345253352543).

The spelling of 203252100241 in words is "two hundred three billion, two hundred fifty-two million, one hundred thousand, two hundred forty-one".