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102000102 = 23171019901
BaseRepresentation
bin1100001010001…
…10010111100110
321002221010211120
412011012113212
5202103000402
614042114410
72345662251
oct605062746
9232833746
10102000102
1152638206
122a1aba06
1318193cb9
14d792098
158e4c3bc
hex61465e6

102000102 has 32 divisors (see below), whose sum is σ = 218160864. Its totient is φ = 31680000.

The previous prime is 102000077. The next prime is 102000109. The reversal of 102000102 is 201000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000109) 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 15 ways as a sum of consecutive naturals, for example, 5352 + ... + 15252.

It is an arithmetic number, because the mean of its divisors is an integer number (6817527).

Almost surely, 2102000102 is an apocalyptic number.

102000102 is an abundant number, since it is smaller than the sum of its proper divisors (116160762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102000102 is a wasteful number, since it uses less digits than its factorization.

102000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102000102 is about 10099.5099881133. The cubic root of 102000102 is about 467.2330285798.

Adding to 102000102 its reverse (201000201), we get a palindrome (303000303).

Subtracting 102000102 from its reverse (201000201), we obtain a palindrome (99000099).

The spelling of 102000102 in words is "one hundred two million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 17 34 51 101 102 202 303 606 1717 3434 5151 9901 10302 19802 29703 59406 168317 336634 504951 1000001 1009902 2000002 3000003 6000006 17000017 34000034 51000051 102000102