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102141065 = 5132120877
BaseRepresentation
bin1100001011010…
…00110010001001
321010012022012102
412011220302021
5202122003230
614045123145
72350120235
oct605506211
9233168172
10102141065
1152724104
122a2594b5
1318213200
14d7cb5c5
158e79045
hex6168c89

102141065 has 12 divisors (see below), whose sum is σ = 132724044. Its totient is φ = 75426624.

The previous prime is 102141037. The next prime is 102141079. The reversal of 102141065 is 560141201.

It can be written as a sum of positive squares in 6 ways, for example, as 31899904 + 70241161 = 5648^2 + 8381^2 .

It is not a de Polignac number, because 102141065 - 210 = 102140041 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 59594 + ... + 61283.

It is an arithmetic number, because the mean of its divisors is an integer number (11060337).

Almost surely, 2102141065 is an apocalyptic number.

It is an amenable number.

102141065 is a deficient number, since it is larger than the sum of its proper divisors (30582979).

102141065 is a wasteful number, since it uses less digits than its factorization.

102141065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120908 (or 120895 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 102141065 is about 10106.4862835706. The cubic root of 102141065 is about 467.4481664438.

Adding to 102141065 its reverse (560141201), we get a palindrome (662282266).

The spelling of 102141065 in words is "one hundred two million, one hundred forty-one thousand, sixty-five".

Divisors: 1 5 13 65 169 845 120877 604385 1571401 7857005 20428213 102141065