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10010013037 is a prime number
BaseRepresentation
bin10010101001010010…
…01010110101101101
3221211121121100102121
421110221022311231
5131000030404122
64333141152541
7503025464323
oct112451126555
927747540377
1010010013037
114277433a52
121b343bb751
13c36ab4c4b
146ad60bd13
153d8bd9bc7
hex254a4ad6d

10010013037 has 2 divisors, whose sum is σ = 10010013038. Its totient is φ = 10010013036.

The previous prime is 10010013001. The next prime is 10010013077. The reversal of 10010013037 is 73031001001.

It is a happy number.

10010013037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8758339396 + 1251673641 = 93586^2 + 35379^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010013037 - 227 = 9875795309 is a prime.

It is a super-2 number, since 2×100100130372 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10010013037.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010013077) 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 as a sum of consecutive naturals, namely, 5005006518 + 5005006519.

It is an arithmetic number, because the mean of its divisors is an integer number (5005006519).

Almost surely, 210010013037 is an apocalyptic number.

It is an amenable number.

10010013037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010013037 is an equidigital number, since it uses as much as digits as its factorization.

10010013037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 16.

Adding to 10010013037 its reverse (73031001001), we get a palindrome (83041014038).

The spelling of 10010013037 in words is "ten billion, ten million, thirteen thousand, thirty-seven".