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17265142148101 is a prime number
BaseRepresentation
bin1111101100111101101010…
…1010100010110000000101
32021010112100102220220112221
43323033122222202300011
54230333002342214401
6100415255151012341
73431236213601611
oct373173252426005
967115312826487
1017265142148101
1155571187065a1
121b2a12520a0b1
1398313296ba83
144398ccc00341
151ee18c99d7a1
hexfb3daaa2c05

17265142148101 has 2 divisors, whose sum is σ = 17265142148102. Its totient is φ = 17265142148100.

The previous prime is 17265142148081. The next prime is 17265142148119. The reversal of 17265142148101 is 10184124156271.

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., 11104823112100 + 6160319036001 = 3332390^2 + 2481999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17265142148101 is a prime.

It is a super-2 number, since 2×172651421481012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17265142148701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8632571074050 + 8632571074051.

It is an arithmetic number, because the mean of its divisors is an integer number (8632571074051).

Almost surely, 217265142148101 is an apocalyptic number.

It is an amenable number.

17265142148101 is a deficient number, since it is larger than the sum of its proper divisors (1).

17265142148101 is an equidigital number, since it uses as much as digits as its factorization.

17265142148101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 17265142148101 in words is "seventeen trillion, two hundred sixty-five billion, one hundred forty-two million, one hundred forty-eight thousand, one hundred one".