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201312257 is a prime number
BaseRepresentation
bin10111111111111…
…00100000000001
3112000210201111112
423333330200001
5403013443012
631550453105
74663061126
oct1377744001
9460721445
10201312257
11a36a9973
1257504195
13329266a3
141ca4474d
1512a18122
hexbffc801

201312257 has 2 divisors, whose sum is σ = 201312258. Its totient is φ = 201312256.

The previous prime is 201312217. The next prime is 201312259. The reversal of 201312257 is 752213102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195888016 + 5424241 = 13996^2 + 2329^2 .

It is a cyclic number.

It is not a de Polignac number, because 201312257 - 220 = 200263681 is a prime.

Together with 201312259, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p11147630 and since 201312257 and 11147630 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (201312259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100656128 + 100656129.

It is an arithmetic number, because the mean of its divisors is an integer number (100656129).

Almost surely, 2201312257 is an apocalyptic number.

It is an amenable number.

201312257 is a deficient number, since it is larger than the sum of its proper divisors (1).

201312257 is an equidigital number, since it uses as much as digits as its factorization.

201312257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 201312257 is about 14188.4550603651. The cubic root of 201312257 is about 586.0797813697.

Adding to 201312257 its reverse (752213102), we get a palindrome (953525359).

The spelling of 201312257 in words is "two hundred one million, three hundred twelve thousand, two hundred fifty-seven".