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102180141 = 3272231701
BaseRepresentation
bin1100001011100…
…10010100101101
321010021021210200
412011302110231
5202124231031
614050024113
72350342200
oct605622455
9233237720
10102180141
11527504a8
122a278039
1318227c2b
14d7db937
158e858e6
hex617252d

102180141 has 18 divisors (see below), whose sum is σ = 171691182. Its totient is φ = 58388400.

The previous prime is 102180139. The next prime is 102180163. The reversal of 102180141 is 141081201.

It can be written as a sum of positive squares in only one way, i.e., 79655625 + 22524516 = 8925^2 + 4746^2 .

It is not a de Polignac number, because 102180141 - 21 = 102180139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102180121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115410 + ... + 116291.

It is an arithmetic number, because the mean of its divisors is an integer number (9538399).

Almost surely, 2102180141 is an apocalyptic number.

It is an amenable number.

102180141 is a deficient number, since it is larger than the sum of its proper divisors (69511041).

102180141 is a wasteful number, since it uses less digits than its factorization.

102180141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231721 (or 231711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 102180141 is about 10108.4193126324. The cubic root of 102180141 is about 467.5077692285.

The spelling of 102180141 in words is "one hundred two million, one hundred eighty thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 231701 695103 1621907 2085309 4865721 11353349 14597163 34060047 102180141