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201211001000249 is a prime number
BaseRepresentation
bin101101110000000000010110…
…001111010101000100111001
3222101102120202121122212212112
4231300000112033111010321
5202333120112224001444
61551535020251422105
760245005115060552
oct5560002617250471
9871376677585775
10201211001000249
1159126119560789
121a698059154935
138837167a61596
1437989431dd329
15183de5e96569e
hexb700163d5139

201211001000249 has 2 divisors, whose sum is σ = 201211001000250. Its totient is φ = 201211001000248.

The previous prime is 201211001000201. The next prime is 201211001000267. The reversal of 201211001000249 is 942000100112102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168064129242025 + 33146871758224 = 12963955^2 + 5757332^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201211001000249 is a prime.

It is not a weakly prime, because it can be changed into another prime (201211001000279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100605500500124 + 100605500500125.

It is an arithmetic number, because the mean of its divisors is an integer number (100605500500125).

Almost surely, 2201211001000249 is an apocalyptic number.

It is an amenable number.

201211001000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

201211001000249 is an equidigital number, since it uses as much as digits as its factorization.

201211001000249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 201211001000249 in words is "two hundred one trillion, two hundred eleven billion, one million, two hundred forty-nine", and thus it is an aban number.