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211300001257 is a prime number
BaseRepresentation
bin1100010011001001110…
…1100010010111101001
3202012101212020020002111
43010302131202113221
511430220300020012
6241023032202321
721160132243042
oct3046235422751
9665355206074
10211300001257
1181680384414
1234b4bb393a1
1316c05445057
14a326b658c9
15576a522ba7
hex31327625e9

211300001257 has 2 divisors, whose sum is σ = 211300001258. Its totient is φ = 211300001256.

The previous prime is 211300001219. The next prime is 211300001261. The reversal of 211300001257 is 752100003112.

It is a happy number.

211300001257 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., 162454139136 + 48845862121 = 403056^2 + 221011^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211300001257 is a prime.

It is not a weakly prime, because it can be changed into another prime (211300001557) 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, 105650000628 + 105650000629.

It is an arithmetic number, because the mean of its divisors is an integer number (105650000629).

Almost surely, 2211300001257 is an apocalyptic number.

It is an amenable number.

211300001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

211300001257 is an equidigital number, since it uses as much as digits as its factorization.

211300001257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 211300001257 its reverse (752100003112), we get a palindrome (963400004369).

The spelling of 211300001257 in words is "two hundred eleven billion, three hundred million, one thousand, two hundred fifty-seven".