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102666513 = 3312149239
BaseRepresentation
bin1100001111010…
…01000100010001
321011011222222110
412013221010101
5202240312023
614104255533
72354436165
oct607510421
9234158873
10102666513
1152a52964
122a4715a9
1318368421
14d8c6ca5
15902ea93
hex61e9111

102666513 has 24 divisors (see below), whose sum is σ = 142992000. Its totient is φ = 65516640.

The previous prime is 102666493. The next prime is 102666517. The reversal of 102666513 is 315666201.

It is not a de Polignac number, because 102666513 - 28 = 102666257 is a prime.

It is a super-4 number, since 4×1026665134 (a number of 33 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102666517) 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 23 ways as a sum of consecutive naturals, for example, 429448 + ... + 429686.

It is an arithmetic number, because the mean of its divisors is an integer number (5958000).

Almost surely, 2102666513 is an apocalyptic number.

It is an amenable number.

102666513 is a deficient number, since it is larger than the sum of its proper divisors (40325487).

102666513 is a wasteful number, since it uses less digits than its factorization.

102666513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 102666513 is about 10132.4485194843. The cubic root of 102666513 is about 468.2483660512.

The spelling of 102666513 in words is "one hundred two million, six hundred sixty-six thousand, five hundred thirteen".

Divisors: 1 3 31 93 149 239 447 717 961 2883 4619 7409 13857 22227 35611 106833 143189 229679 429567 689037 1103941 3311823 34222171 102666513