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129585746141 is a prime number
BaseRepresentation
bin111100010101111101…
…0011001000011011101
3110101111001102222011022
41320223322121003131
54110342422334031
6135310400133525
712235153445105
oct1705372310335
9411431388138
10129585746141
114aa58859075
12211460072a5
13c2b21123c7
1463b4474205
1535867d697b
hex1e2be990dd

129585746141 has 2 divisors, whose sum is σ = 129585746142. Its totient is φ = 129585746140.

The previous prime is 129585746117. The next prime is 129585746153. The reversal of 129585746141 is 141647585921.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90859442041 + 38726304100 = 301429^2 + 196790^2 .

It is a cyclic number.

It is not a de Polignac number, because 129585746141 - 26 = 129585746077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (129585746041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64792873070 + 64792873071.

It is an arithmetic number, because the mean of its divisors is an integer number (64792873071).

Almost surely, 2129585746141 is an apocalyptic number.

It is an amenable number.

129585746141 is a deficient number, since it is larger than the sum of its proper divisors (1).

129585746141 is an equidigital number, since it uses as much as digits as its factorization.

129585746141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2419200, while the sum is 53.

The spelling of 129585746141 in words is "one hundred twenty-nine billion, five hundred eighty-five million, seven hundred forty-six thousand, one hundred forty-one".