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129256220441 is a prime number
BaseRepresentation
bin111100001100001000…
…1010110011100011001
3110100122002101022212202
41320120101112130121
54104204043023231
6135213545215545
712224042513555
oct1703021263431
9410562338782
10129256220441
114a8a9848587
12210737915b5
13c25ba7749a
1463827b6865
1535678e45cb
hex1e18456719

129256220441 has 2 divisors, whose sum is σ = 129256220442. Its totient is φ = 129256220440.

The previous prime is 129256220417. The next prime is 129256220447. The reversal of 129256220441 is 144022652921.

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., 128590374025 + 665846416 = 358595^2 + 25804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-129256220441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 129256220395 and 129256220404.

It is not a weakly prime, because it can be changed into another prime (129256220447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64628110220 + 64628110221.

It is an arithmetic number, because the mean of its divisors is an integer number (64628110221).

Almost surely, 2129256220441 is an apocalyptic number.

It is an amenable number.

129256220441 is a deficient number, since it is larger than the sum of its proper divisors (1).

129256220441 is an equidigital number, since it uses as much as digits as its factorization.

129256220441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 129256220441 in words is "one hundred twenty-nine billion, two hundred fifty-six million, two hundred twenty thousand, four hundred forty-one".