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10011100031 is a prime number
BaseRepresentation
bin10010101001011010…
…10100001101111111
3221211200122120111122
421110231110031333
5131000320200111
64333220341155
7503040642362
oct112455241577
927750576448
1010011100031
114278006699
121b348447bb
13c370a593a
146ad8120d9
153d8d51cdb
hex254b5437f

10011100031 has 2 divisors, whose sum is σ = 10011100032. Its totient is φ = 10011100030.

The previous prime is 10011100009. The next prime is 10011100067. The reversal of 10011100031 is 13000111001.

It is a weak prime.

It is an emirp because it is prime and its reverse (13000111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011100031 - 230 = 8937358207 is a prime.

It is a super-2 number, since 2×100111000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011099991 and 10011100018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011105031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005550015 + 5005550016.

It is an arithmetic number, because the mean of its divisors is an integer number (5005550016).

Almost surely, 210011100031 is an apocalyptic number.

10011100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011100031 is an equidigital number, since it uses as much as digits as its factorization.

10011100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10011100031 its reverse (13000111001), we get a palindrome (23011211032).

The spelling of 10011100031 in words is "ten billion, eleven million, one hundred thousand, thirty-one".