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179201361041 is a prime number
BaseRepresentation
bin1010011011100100111…
…0111100010010010001
3122010112211222100112222
42212321032330102101
510414001022023131
6214153551030425
715642530302433
oct2467116742221
9563484870488
10179201361041
1169aa955098a
122a89220b415
1313b8b34a011
14895db06653
1549dc54e87b
hex29b93bc491

179201361041 has 2 divisors, whose sum is σ = 179201361042. Its totient is φ = 179201361040.

The previous prime is 179201361007. The next prime is 179201361043. The reversal of 179201361041 is 140163102971.

179201361041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106667560000 + 72533801041 = 326600^2 + 269321^2 .

It is a cyclic number.

It is not a de Polignac number, because 179201361041 - 218 = 179201098897 is a prime.

It is a super-2 number, since 2×1792013610412 (a number of 23 digits) contains 22 as substring.

Together with 179201361043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 179201360992 and 179201361010.

It is not a weakly prime, because it can be changed into another prime (179201361043) 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, 89600680520 + 89600680521.

It is an arithmetic number, because the mean of its divisors is an integer number (89600680521).

Almost surely, 2179201361041 is an apocalyptic number.

It is an amenable number.

179201361041 is a deficient number, since it is larger than the sum of its proper divisors (1).

179201361041 is an equidigital number, since it uses as much as digits as its factorization.

179201361041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 179201361041 in words is "one hundred seventy-nine billion, two hundred one million, three hundred sixty-one thousand, forty-one".