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126765667001 is a prime number
BaseRepresentation
bin111011000001111010…
…0101001001010111001
3110010012111222002211202
41312003310221022321
54034104002321001
6134122500103545
712105241251041
oct1660364511271
9403174862752
10126765667001
1149840a06956
1220699694bb5
13bc52aa4a1c
1461c7b04721
15346de3296b
hex1d83d292b9

126765667001 has 2 divisors, whose sum is σ = 126765667002. Its totient is φ = 126765667000.

The previous prime is 126765666983. The next prime is 126765667097. The reversal of 126765667001 is 100766567621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104950081600 + 21815585401 = 323960^2 + 147701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-126765667001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (126765667901) 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, 63382833500 + 63382833501.

It is an arithmetic number, because the mean of its divisors is an integer number (63382833501).

Almost surely, 2126765667001 is an apocalyptic number.

It is an amenable number.

126765667001 is a deficient number, since it is larger than the sum of its proper divisors (1).

126765667001 is an equidigital number, since it uses as much as digits as its factorization.

126765667001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 126765667001 in words is "one hundred twenty-six billion, seven hundred sixty-five million, six hundred sixty-seven thousand, one".