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102000015 = 325131131543
BaseRepresentation
bin1100001010001…
…10010110001111
321002221010201100
412011012112033
5202103000030
614042114143
72345662065
oct605062617
9232833640
10102000015
1152638137
122a1ab953
1318193c50
14d792035
158e4c360
hex614658f

102000015 has 48 divisors (see below), whose sum is σ = 192209472. Its totient is φ = 49738752.

The previous prime is 101999969. The next prime is 102000023. The reversal of 102000015 is 510000201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-102000015 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101999970 and 102000006.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 65334 + ... + 66876.

It is an arithmetic number, because the mean of its divisors is an integer number (4004364).

Almost surely, 2102000015 is an apocalyptic number.

102000015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102000015 is a deficient number, since it is larger than the sum of its proper divisors (90209457).

102000015 is a wasteful number, since it uses less digits than its factorization.

102000015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 102000015 is about 10099.5056809727. The cubic root of 102000015 is about 467.2328957391.

Adding to 102000015 its reverse (510000201), we get a palindrome (612000216).

The spelling of 102000015 in words is "one hundred two million, fifteen", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 39 45 65 113 117 195 339 565 585 1017 1469 1543 1695 4407 4629 5085 7345 7715 13221 13887 20059 22035 23145 60177 66105 69435 100295 174359 180531 300885 523077 871795 902655 1569231 2266667 2615385 6800001 7846155 11333335 20400003 34000005 102000015