Search a number
-
+
41101400129 is a prime number
BaseRepresentation
bin100110010001110101…
…011001100001000001
310221002102112110102212
4212101311121201001
51133133424301004
630514241351505
72653350064616
oct462165314101
9127072473385
1041101400129
111648173a289
127b70938595
133b5030360a
141dbc99250d
15110854796e
hex991d59841

41101400129 has 2 divisors, whose sum is σ = 41101400130. Its totient is φ = 41101400128.

The previous prime is 41101400113. The next prime is 41101400149. The reversal of 41101400129 is 92100410114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37364890000 + 3736510129 = 193300^2 + 61127^2 .

It is a cyclic number.

It is not a de Polignac number, because 41101400129 - 24 = 41101400113 is a prime.

It is a super-2 number, since 2×411014001292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41101400149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20550700064 + 20550700065.

It is an arithmetic number, because the mean of its divisors is an integer number (20550700065).

Almost surely, 241101400129 is an apocalyptic number.

It is an amenable number.

41101400129 is a deficient number, since it is larger than the sum of its proper divisors (1).

41101400129 is an equidigital number, since it uses as much as digits as its factorization.

41101400129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 41101400129 in words is "forty-one billion, one hundred one million, four hundred thousand, one hundred twenty-nine".