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10013077 is a prime number
BaseRepresentation
bin100110001100…
…100110010101
3200211201100201
4212030212111
510030404302
6554340501
7151052434
oct46144625
920751321
1010013077
115719a78
12342a731
1320c77c9
14148911b
15d2bc87
hex98c995

10013077 has 2 divisors, whose sum is σ = 10013078. Its totient is φ = 10013076.

The previous prime is 10013071. The next prime is 10013111. The reversal of 10013077 is 77031001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5058001 + 4955076 = 2249^2 + 2226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10013077 is a prime.

It is a super-2 number, since 2×100130772 = 200523422015858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013071) 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, 5006538 + 5006539.

It is an arithmetic number, because the mean of its divisors is an integer number (5006539).

Almost surely, 210013077 is an apocalyptic number.

It is an amenable number.

10013077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013077 is an equidigital number, since it uses as much as digits as its factorization.

10013077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 10013077 is about 3164.3446398899. The cubic root of 10013077 is about 215.5373399049.

Adding to 10013077 its reverse (77031001), we get a palindrome (87044078).

The spelling of 10013077 in words is "ten million, thirteen thousand, seventy-seven".