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102315141 = 3217365713
BaseRepresentation
bin1100001100100…
…11010010000101
321010112010222200
412012103102011
5202143041031
614052545113
72351443605
oct606232205
9233463880
10102315141
1152832975
122a322199
1318274506
14d834c05
158eb08e6
hex6193485

102315141 has 12 divisors (see below), whose sum is σ = 148645068. Its totient is φ = 67814784.

The previous prime is 102315127. The next prime is 102315151. The reversal of 102315141 is 141513201.

It can be written as a sum of positive squares in 2 ways, for example, as 91126116 + 11189025 = 9546^2 + 3345^2 .

It is not a de Polignac number, because 102315141 - 26 = 102315077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102315151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31300 + ... + 34413.

It is an arithmetic number, because the mean of its divisors is an integer number (12387089).

Almost surely, 2102315141 is an apocalyptic number.

It is an amenable number.

102315141 is a deficient number, since it is larger than the sum of its proper divisors (46329927).

102315141 is a wasteful number, since it uses less digits than its factorization.

102315141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65892 (or 65889 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 102315141 is about 10115.0947103821. The cubic root of 102315141 is about 467.7135684294.

Adding to 102315141 its reverse (141513201), we get a palindrome (243828342).

The spelling of 102315141 in words is "one hundred two million, three hundred fifteen thousand, one hundred forty-one".

Divisors: 1 3 9 173 519 1557 65713 197139 591417 11368349 34105047 102315141