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10036381 is a prime number
BaseRepresentation
bin100110010010…
…010010011101
3200212220022211
4212102102131
510032131011
6555040421
7151210405
oct46222235
920786284
1010036381
115735533
123440111
1321052b4
141493805
15d33b21
hex99249d

10036381 has 2 divisors, whose sum is σ = 10036382. Its totient is φ = 10036380.

The previous prime is 10036379. The next prime is 10036417. The reversal of 10036381 is 18363001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8608356 + 1428025 = 2934^2 + 1195^2 .

It is an emirp because it is prime and its reverse (18363001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10036381 - 21 = 10036379 is a prime.

It is a super-2 number, since 2×100363812 = 201457887154322, which contains 22 as substring.

Together with 10036379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10036331) 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, 5018190 + 5018191.

It is an arithmetic number, because the mean of its divisors is an integer number (5018191).

Almost surely, 210036381 is an apocalyptic number.

It is an amenable number.

10036381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10036381 is an equidigital number, since it uses as much as digits as its factorization.

10036381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10036381 is about 3168.0247789435. The cubic root of 10036381 is about 215.7044210968.

Adding to 10036381 its reverse (18363001), we get a palindrome (28399382).

It can be divided in two parts, 100 and 36381, that added together give a square (36481 = 1912).

The spelling of 10036381 in words is "ten million, thirty-six thousand, three hundred eighty-one".