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201305101 is a prime number
BaseRepresentation
bin10111111111110…
…10110000001101
3112000210100200111
423333322300031
5403013230401
631550400021
74663031224
oct1377726015
9460710614
10201305101
11a36a4558
1257500011
133292335a
141ca41cbb
1512a15e51
hexbffac0d

201305101 has 2 divisors, whose sum is σ = 201305102. Its totient is φ = 201305100.

The previous prime is 201305099. The next prime is 201305107. The reversal of 201305101 is 101503102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172896201 + 28408900 = 13149^2 + 5330^2 .

It is a cyclic number.

It is not a de Polignac number, because 201305101 - 21 = 201305099 is a prime.

Together with 201305099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201305107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100652550 + 100652551.

It is an arithmetic number, because the mean of its divisors is an integer number (100652551).

Almost surely, 2201305101 is an apocalyptic number.

It is an amenable number.

201305101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201305101 is an equidigital number, since it uses as much as digits as its factorization.

201305101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 201305101 is about 14188.2028812672. The cubic root of 201305101 is about 586.0728368735.

Adding to 201305101 its reverse (101503102), we get a palindrome (302808203).

The spelling of 201305101 in words is "two hundred one million, three hundred five thousand, one hundred one".