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6006105101 is a prime number
BaseRepresentation
bin1011001011111110…
…11110010000001101
3120111120112202022002
411211333132100031
544300030330401
62431551402045
7301560023333
oct54577362015
916446482262
106006105101
112602320727
1211b7523325
13749425859
1440d95bb53
15252441a6b
hex165fde40d

6006105101 has 2 divisors, whose sum is σ = 6006105102. Its totient is φ = 6006105100.

The previous prime is 6006104989. The next prime is 6006105107. The reversal of 6006105101 is 1015016006.

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., 5852097001 + 154008100 = 76499^2 + 12410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6006105101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6006105107) 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, 3003052550 + 3003052551.

It is an arithmetic number, because the mean of its divisors is an integer number (3003052551).

Almost surely, 26006105101 is an apocalyptic number.

It is an amenable number.

6006105101 is a deficient number, since it is larger than the sum of its proper divisors (1).

6006105101 is an equidigital number, since it uses as much as digits as its factorization.

6006105101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 6006105101 is about 77499.0651621037. The cubic root of 6006105101 is about 1817.7367008431.

The spelling of 6006105101 in words is "six billion, six million, one hundred five thousand, one hundred one".