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10201347 = 3213219353
BaseRepresentation
bin100110111010…
…100100000011
3201012021121200
4212322210003
510102420342
61002352243
7152465352
oct46724403
921167550
1010201347
115838472
1234bb683
132162400
1414d7999
15d6794c
hex9ba903

10201347 has 36 divisors (see below), whose sum is σ = 16843320. Its totient is φ = 5930496.

The previous prime is 10201267. The next prime is 10201361. The reversal of 10201347 is 74310201.

10201347 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201347 - 214 = 10184963 is a prime.

It is a super-2 number, since 2×102013472 = 208134961228818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10205347) 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 in 35 ways as a sum of consecutive naturals, for example, 28723 + ... + 29075.

It is an arithmetic number, because the mean of its divisors is an integer number (467870).

Almost surely, 210201347 is an apocalyptic number.

10201347 is a deficient number, since it is larger than the sum of its proper divisors (6641973).

10201347 is a wasteful number, since it uses less digits than its factorization.

10201347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10201347 is about 3193.9547586026. The cubic root of 10201347 is about 216.8798346499.

Adding to 10201347 its reverse (74310201), we get a palindrome (84511548).

The spelling of 10201347 in words is "ten million, two hundred one thousand, three hundred forty-seven".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 353 507 741 1059 1521 2223 3177 3211 4589 6707 9633 13767 20121 28899 41301 59657 60363 87191 178971 261573 536913 784719 1133483 3400449 10201347