Search a number
-
+
10881746129 is a prime number
BaseRepresentation
bin10100010001001101…
…00100010011010001
31001002100220222102102
422020212210103101
5134241211334004
64555441330145
7533442213242
oct121046442321
931070828372
1010881746129
114684509a21
122138336955
131045592447
147532cacc9
1543a4d111e
hex2889a44d1

10881746129 has 2 divisors, whose sum is σ = 10881746130. Its totient is φ = 10881746128.

The previous prime is 10881746047. The next prime is 10881746137. The reversal of 10881746129 is 92164718801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10500715729 + 381030400 = 102473^2 + 19520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10881746129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10881746159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5440873064 + 5440873065.

It is an arithmetic number, because the mean of its divisors is an integer number (5440873065).

Almost surely, 210881746129 is an apocalyptic number.

It is an amenable number.

10881746129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10881746129 is an equidigital number, since it uses as much as digits as its factorization.

10881746129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 47.

The spelling of 10881746129 in words is "ten billion, eight hundred eighty-one million, seven hundred forty-six thousand, one hundred twenty-nine".