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102000123 = 3211333347
BaseRepresentation
bin1100001010001…
…10010111111011
321002221010212100
412011012113323
5202103000443
614042114443
72345662311
oct605062773
9232833770
10102000123
1152638225
122a1aba23
1318194004
14d7920b1
158e4c3d3
hex61465fb

102000123 has 6 divisors (see below), whose sum is σ = 147333524. Its totient is φ = 68000076.

The previous prime is 102000109. The next prime is 102000131. The reversal of 102000123 is 321000201.

It is a happy number.

It is not a de Polignac number, because 102000123 - 28 = 101999867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11333347 = 102000123 / (1 + 0 + 2 + 0 + 0 + 0 + 1 + 2 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5666665 + ... + 5666682.

Almost surely, 2102000123 is an apocalyptic number.

102000123 is a deficient number, since it is larger than the sum of its proper divisors (45333401).

102000123 is a wasteful number, since it uses less digits than its factorization.

102000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333353 (or 11333350 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102000123 is about 10099.5110277676. The cubic root of 102000123 is about 467.2330606447.

Adding to 102000123 its reverse (321000201), we get a palindrome (423000324).

The spelling of 102000123 in words is "one hundred two million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 9 11333347 34000041 102000123