Search a number
-
+
10036338881 is a prime number
BaseRepresentation
bin10010101100011011…
…00110000011000001
3221220110010211200212
421112031212003001
5131023300321011
64335521323505
7503465321132
oct112615460301
927813124625
1010036338881
114290284a48
121b41196595
13c3c3a177a
146b2d01c89
153db18a08b
hex2563660c1

10036338881 has 2 divisors, whose sum is σ = 10036338882. Its totient is φ = 10036338880.

The previous prime is 10036338869. The next prime is 10036338889. The reversal of 10036338881 is 18883363001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9955050625 + 81288256 = 99775^2 + 9016^2 .

It is an emirp because it is prime and its reverse (18883363001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10036338881 - 26 = 10036338817 is a prime.

It is a super-2 number, since 2×100363388812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10036338889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5018169440 + 5018169441.

It is an arithmetic number, because the mean of its divisors is an integer number (5018169441).

Almost surely, 210036338881 is an apocalyptic number.

It is an amenable number.

10036338881 is a deficient number, since it is larger than the sum of its proper divisors (1).

10036338881 is an equidigital number, since it uses as much as digits as its factorization.

10036338881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 10036338881 in words is "ten billion, thirty-six million, three hundred thirty-eight thousand, eight hundred eighty-one".