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201137301 = 3229770641
BaseRepresentation
bin10111111110100…
…01110010010101
3112000110211111200
423333101302111
5402442343201
631543023113
74661432061
oct1377216225
9460424450
10201137301
11a359a482
125743aa99
1332894b71
141c9daaa1
15129d1386
hexbfd1c95

201137301 has 12 divisors (see below), whose sum is σ = 300550380. Its totient is φ = 129467520.

The previous prime is 201137281. The next prime is 201137317. The reversal of 201137301 is 103731102.

It can be written as a sum of positive squares in 2 ways, for example, as 52272900 + 148864401 = 7230^2 + 12201^2 .

It is not a de Polignac number, because 201137301 - 226 = 134028437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201137201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385060 + ... + 385581.

It is an arithmetic number, because the mean of its divisors is an integer number (25045865).

Almost surely, 2201137301 is an apocalyptic number.

It is an amenable number.

201137301 is a deficient number, since it is larger than the sum of its proper divisors (99413079).

201137301 is a wasteful number, since it uses less digits than its factorization.

201137301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770676 (or 770673 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 201137301 is about 14182.2882850406. The cubic root of 201137301 is about 585.9099491984.

Adding to 201137301 its reverse (103731102), we get a palindrome (304868403).

The spelling of 201137301 in words is "two hundred one million, one hundred thirty-seven thousand, three hundred one".

Divisors: 1 3 9 29 87 261 770641 2311923 6935769 22348589 67045767 201137301