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102016123 = 1128332771
BaseRepresentation
bin1100001010010…
…10010001111011
321002221221210221
412011022101323
5202104003443
614042320511
72346060046
oct605122173
9232857727
10102016123
1152649250
122a1b9137
131819b391
14d797c5d
158e51eed
hex614a47b

102016123 has 8 divisors (see below), whose sum is σ = 111686976. Its totient is φ = 92411400.

The previous prime is 102016121. The next prime is 102016147. The reversal of 102016123 is 321610201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102016123 - 21 = 102016121 is a prime.

It is a super-2 number, since 2×1020161232 = 20814578703902258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102016097 and 102016106.

It is not an unprimeable number, because it can be changed into a prime (102016121) 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 7 ways as a sum of consecutive naturals, for example, 13273 + ... + 19498.

It is an arithmetic number, because the mean of its divisors is an integer number (13960872).

Almost surely, 2102016123 is an apocalyptic number.

102016123 is a deficient number, since it is larger than the sum of its proper divisors (9670853).

102016123 is a wasteful number, since it uses less digits than its factorization.

102016123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33065.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 102016123 is about 10100.3031142635. The cubic root of 102016123 is about 467.2574898248.

Adding to 102016123 its reverse (321610201), we get a palindrome (423626324).

The spelling of 102016123 in words is "one hundred two million, sixteen thousand, one hundred twenty-three".

Divisors: 1 11 283 3113 32771 360481 9274193 102016123