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10171273129 is a prime number
BaseRepresentation
bin10010111100100000…
…10100111110101001
3222020212001012200121
421132100110332221
5131312321220004
64401141403241
7510024252343
oct113620247651
928225035617
1010171273129
11434a467056
121b7a409521
13c61327114
146c6bc8293
153e7e40854
hex25e414fa9

10171273129 has 2 divisors, whose sum is σ = 10171273130. Its totient is φ = 10171273128.

The previous prime is 10171273127. The next prime is 10171273159. The reversal of 10171273129 is 92137217101.

10171273129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5435080729 + 4736192400 = 73723^2 + 68820^2 .

It is a cyclic number.

It is not a de Polignac number, because 10171273129 - 21 = 10171273127 is a prime.

Together with 10171273127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10171273094 and 10171273103.

It is not a weakly prime, because it can be changed into another prime (10171273127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5085636564 + 5085636565.

It is an arithmetic number, because the mean of its divisors is an integer number (5085636565).

Almost surely, 210171273129 is an apocalyptic number.

It is an amenable number.

10171273129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10171273129 is an equidigital number, since it uses as much as digits as its factorization.

10171273129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 34.

The spelling of 10171273129 in words is "ten billion, one hundred seventy-one million, two hundred seventy-three thousand, one hundred twenty-nine".