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102141 = 341397
BaseRepresentation
bin11000111011111101
312012010000
4120323331
511232031
62104513
7603534
oct307375
9165100
10102141
116a816
124b139
1337650
142931b
15203e6
hex18efd

102141 has 20 divisors (see below), whose sum is σ = 166012. Its totient is φ = 62208.

The previous prime is 102139. The next prime is 102149. The reversal of 102141 is 141201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 72900 = 171^2 + 270^2 .

It is not a de Polignac number, because 102141 - 21 = 102139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1005 + ... + 1101.

2102141 is an apocalyptic number.

It is an amenable number.

102141 is a deficient number, since it is larger than the sum of its proper divisors (63871).

102141 is an equidigital number, since it uses as much as digits as its factorization.

102141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102141 is about 319.5950562822. The cubic root of 102141 is about 46.7448067286.

Adding to 102141 its reverse (141201), we get a palindrome (243342).

Subtracting 102141 from its reverse (141201), we obtain a triangular number (39060 = T279).

It can be divided in two parts, 102 and 141, that added together give a 5-th power (243 = 35).

The spelling of 102141 in words is "one hundred two thousand, one hundred forty-one", and thus it is an iban number.

Divisors: 1 3 9 13 27 39 81 97 117 291 351 873 1053 1261 2619 3783 7857 11349 34047 102141