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10135813 is a prime number
BaseRepresentation
bin100110101010…
…100100000101
3201001221201111
4212222210011
510043321223
61001125021
7152103322
oct46524405
921057644
1010135813
1157a3206
123489771
13213b62c
1414bbb49
15d5330d
hex9aa905

10135813 has 2 divisors, whose sum is σ = 10135814. Its totient is φ = 10135812.

The previous prime is 10135799. The next prime is 10135841. The reversal of 10135813 is 31853101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5461569 + 4674244 = 2337^2 + 2162^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10135813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10135843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5067906 + 5067907.

It is an arithmetic number, because the mean of its divisors is an integer number (5067907).

Almost surely, 210135813 is an apocalyptic number.

It is an amenable number.

10135813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135813 is an equidigital number, since it uses as much as digits as its factorization.

10135813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 10135813 is about 3183.6791609708. The cubic root of 10135813 is about 216.4144207131.

Adding to 10135813 its reverse (31853101), we get a palindrome (41988914).

The spelling of 10135813 in words is "ten million, one hundred thirty-five thousand, eight hundred thirteen".