Search a number
-
+
111431041129 is a prime number
BaseRepresentation
bin110011111000111001…
…1101100000001101001
3101122121211011101202101
41213301303230001221
53311202321304004
6123105105533401
711023236136012
oct1476163540151
9348554141671
10111431041129
1143291a10531
121971a044261
13a67ab264c5
145571296009
152d72a6eba4
hex19f1cec069

111431041129 has 2 divisors, whose sum is σ = 111431041130. Its totient is φ = 111431041128.

The previous prime is 111431041109. The next prime is 111431041147. The reversal of 111431041129 is 921140134111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111404415529 + 26625600 = 333773^2 + 5160^2 .

It is a cyclic number.

It is not a de Polignac number, because 111431041129 - 229 = 110894170217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111431041097 and 111431041106.

It is not a weakly prime, because it can be changed into another prime (111431041109) 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, 55715520564 + 55715520565.

It is an arithmetic number, because the mean of its divisors is an integer number (55715520565).

Almost surely, 2111431041129 is an apocalyptic number.

It is an amenable number.

111431041129 is a deficient number, since it is larger than the sum of its proper divisors (1).

111431041129 is an equidigital number, since it uses as much as digits as its factorization.

111431041129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 111431041129 in words is "one hundred eleven billion, four hundred thirty-one million, forty-one thousand, one hundred twenty-nine".