Search a number
-
+
10175076166681 is a prime number
BaseRepresentation
bin1001010000010001000111…
…0011001110110000011001
31100000201122112221000120001
42110010101303032300121
52313202023444313211
633350210534533001
72100060605246236
oct224042163166031
940021575830501
1010175076166681
113273253261368
121183bb8507161
1358a67595b81a
1427269501278d
15129a2523cac1
hex94111ccec19

10175076166681 has 2 divisors, whose sum is σ = 10175076166682. Its totient is φ = 10175076166680.

The previous prime is 10175076166657. The next prime is 10175076166721. The reversal of 10175076166681 is 18666167057101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7181778253456 + 2993297913225 = 2679884^2 + 1730115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10175076166681 - 27 = 10175076166553 is a prime.

It is a super-2 number, since 2×101750761666812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10175076166081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5087538083340 + 5087538083341.

It is an arithmetic number, because the mean of its divisors is an integer number (5087538083341).

Almost surely, 210175076166681 is an apocalyptic number.

It is an amenable number.

10175076166681 is a deficient number, since it is larger than the sum of its proper divisors (1).

10175076166681 is an equidigital number, since it uses as much as digits as its factorization.

10175076166681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 10175076166681 in words is "ten trillion, one hundred seventy-five billion, seventy-six million, one hundred sixty-six thousand, six hundred eighty-one".