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102647001601 is a prime number
BaseRepresentation
bin101111110011000111…
…1001111001000000001
3100210221122102221211001
41133212033033020001
53140210113022401
6115053321252001
710262455055224
oct1374617171001
9323848387731
10102647001601
113a594613631
1217a88334001
1398ab02b091
144d7a8195bb
152a0b801601
hex17e63cf201

102647001601 has 2 divisors, whose sum is σ = 102647001602. Its totient is φ = 102647001600.

The previous prime is 102647001581. The next prime is 102647001641. The reversal of 102647001601 is 106100746201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67782643201 + 34864358400 = 260351^2 + 186720^2 .

It is a cyclic number.

It is not a de Polignac number, because 102647001601 - 227 = 102512783873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102647001601.

It is not a weakly prime, because it can be changed into another prime (102647001641) 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, 51323500800 + 51323500801.

It is an arithmetic number, because the mean of its divisors is an integer number (51323500801).

Almost surely, 2102647001601 is an apocalyptic number.

It is an amenable number.

102647001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

102647001601 is an equidigital number, since it uses as much as digits as its factorization.

102647001601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 102647001601 its reverse (106100746201), we get a palindrome (208747747802).

The spelling of 102647001601 in words is "one hundred two billion, six hundred forty-seven million, one thousand, six hundred one".