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135299032801 is a prime number
BaseRepresentation
bin111111000000001110…
…0110110011011100001
3110221020020000000001221
41332000130312123201
54204043023022201
6142053331455041
712526556542402
oct1760034663341
9427206000057
10135299032801
115241a85a989
122227b457481
13c9b2982bba
14679716b9a9
1537bd1874a1
hex1f807366e1

135299032801 has 2 divisors, whose sum is σ = 135299032802. Its totient is φ = 135299032800.

The previous prime is 135299032777. The next prime is 135299032819. The reversal of 135299032801 is 108230992531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111997315600 + 23301717201 = 334660^2 + 152649^2 .

It is an emirp because it is prime and its reverse (108230992531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135299032801 - 229 = 134762161889 is a prime.

It is not a weakly prime, because it can be changed into another prime (135299032871) 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, 67649516400 + 67649516401.

It is an arithmetic number, because the mean of its divisors is an integer number (67649516401).

Almost surely, 2135299032801 is an apocalyptic number.

It is an amenable number.

135299032801 is a deficient number, since it is larger than the sum of its proper divisors (1).

135299032801 is an equidigital number, since it uses as much as digits as its factorization.

135299032801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 135299032801 in words is "one hundred thirty-five billion, two hundred ninety-nine million, thirty-two thousand, eight hundred one".