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202112001241 is a prime number
BaseRepresentation
bin1011110000111011010…
…0000110010011011001
3201022200112101110112121
42330032310012103121
511302411133014431
6232503213341241
720413344444013
oct2741664062331
9638615343477
10202112001241
1178795a56a77
1233206a97821
131609ca4c757
149ad47b31b3
1553cdaac611
hex2f0ed064d9

202112001241 has 2 divisors, whose sum is σ = 202112001242. Its totient is φ = 202112001240.

The previous prime is 202112001151. The next prime is 202112001293. The reversal of 202112001241 is 142100211202.

202112001241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168395329600 + 33716671641 = 410360^2 + 183621^2 .

It is a cyclic number.

It is not a de Polignac number, because 202112001241 - 213 = 202111993049 is a prime.

It is a super-2 number, since 2×2021120012412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202112001941) 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, 101056000620 + 101056000621.

It is an arithmetic number, because the mean of its divisors is an integer number (101056000621).

Almost surely, 2202112001241 is an apocalyptic number.

It is an amenable number.

202112001241 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112001241 is an equidigital number, since it uses as much as digits as its factorization.

202112001241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202112001241 its reverse (142100211202), we get a palindrome (344212212443).

The spelling of 202112001241 in words is "two hundred two billion, one hundred twelve million, one thousand, two hundred forty-one".