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1011167166073 is a prime number
BaseRepresentation
bin11101011011011100100…
…00100111111001111001
310120122222222102020110111
432231232100213321321
5113031332243303243
62052305045344321
7133024444045351
oct16555620477171
93518888366414
101011167166073
1135a919560069
12143b79a080a1
1374477a2260c
1436d255cdb61
151b481d2639d
hexeb6e427e79

1011167166073 has 2 divisors, whose sum is σ = 1011167166074. Its totient is φ = 1011167166072.

The previous prime is 1011167166047. The next prime is 1011167166101. The reversal of 1011167166073 is 3706617611101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1004220443664 + 6946722409 = 1002108^2 + 83347^2 .

It is an emirp because it is prime and its reverse (3706617611101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011167166073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011161166073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505583583036 + 505583583037.

It is an arithmetic number, because the mean of its divisors is an integer number (505583583037).

Almost surely, 21011167166073 is an apocalyptic number.

It is an amenable number.

1011167166073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011167166073 is an equidigital number, since it uses as much as digits as its factorization.

1011167166073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 40.

The spelling of 1011167166073 in words is "one trillion, eleven billion, one hundred sixty-seven million, one hundred sixty-six thousand, seventy-three".