Search a number
-
+
104976646001 is a prime number
BaseRepresentation
bin110000111000100011…
…0000111111101110001
3101000222000002011010222
41201301012013331301
53204443010133001
6120120421502425
710404263524343
oct1416106077561
9330860064128
10104976646001
114057a641987
1218418571a15
139b8c8823a6
14511bda3293
152ae60cb61b
hex1871187f71

104976646001 has 2 divisors, whose sum is σ = 104976646002. Its totient is φ = 104976646000.

The previous prime is 104976645967. The next prime is 104976646009. The reversal of 104976646001 is 100646679401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90564883600 + 14411762401 = 300940^2 + 120049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104976646001 is a prime.

It is a super-2 number, since 2×1049766460012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (104976646009) 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, 52488323000 + 52488323001.

It is an arithmetic number, because the mean of its divisors is an integer number (52488323001).

Almost surely, 2104976646001 is an apocalyptic number.

It is an amenable number.

104976646001 is a deficient number, since it is larger than the sum of its proper divisors (1).

104976646001 is an equidigital number, since it uses as much as digits as its factorization.

104976646001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 104976646001 in words is "one hundred four billion, nine hundred seventy-six million, six hundred forty-six thousand, one".