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10037141 is a prime number
BaseRepresentation
bin100110010010…
…011110010101
3200212221100222
4212102132111
510032142031
6555044125
7151212542
oct46223625
920787328
1010037141
115736064
123440645
13210574a
141493bc9
15d33e7b
hex992795

10037141 has 2 divisors, whose sum is σ = 10037142. Its totient is φ = 10037140.

The previous prime is 10037129. The next prime is 10037143. The reversal of 10037141 is 14173001.

10037141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8726116 + 1311025 = 2954^2 + 1145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10037141 is a prime.

It is a Sophie Germain prime.

Together with 10037143, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10037143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5018570 + 5018571.

It is an arithmetic number, because the mean of its divisors is an integer number (5018571).

Almost surely, 210037141 is an apocalyptic number.

It is an amenable number.

10037141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10037141 is an equidigital number, since it uses as much as digits as its factorization.

10037141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10037141 is about 3168.1447252296. The cubic root of 10037141 is about 215.7098656630.

The spelling of 10037141 in words is "ten million, thirty-seven thousand, one hundred forty-one".