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10357201 is a prime number
BaseRepresentation
bin100111100000…
…100111010001
3201111012102001
4213200213101
510122412301
61005554001
7154014631
oct47404721
921435361
1010357201
115934578
123575901
1321b832a
1415386c1
15d98c01
hex9e09d1

10357201 has 2 divisors, whose sum is σ = 10357202. Its totient is φ = 10357200.

The previous prime is 10357189. The next prime is 10357211. The reversal of 10357201 is 10275301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 1500625 = 2976^2 + 1225^2 .

It is an emirp because it is prime and its reverse (10275301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10357201 - 25 = 10357169 is a prime.

It is a super-3 number, since 3×103572013 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10357211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5178600 + 5178601.

It is an arithmetic number, because the mean of its divisors is an integer number (5178601).

Almost surely, 210357201 is an apocalyptic number.

It is an amenable number.

10357201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10357201 is an equidigital number, since it uses as much as digits as its factorization.

10357201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10357201 is about 3218.2605550204. The cubic root of 10357201 is about 217.9787384926.

The spelling of 10357201 in words is "ten million, three hundred fifty-seven thousand, two hundred one".