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10200123 = 323730631
BaseRepresentation
bin100110111010…
…010000111011
3201012012221100
4212322100323
510102400443
61002342443
7152461653
oct46722073
921165840
1010200123
11583755a
1234baa23
13216199b
1414d7363
15d673d3
hex9ba43b

10200123 has 12 divisors (see below), whose sum is σ = 15132208. Its totient is φ = 6616080.

The previous prime is 10200107. The next prime is 10200139. The reversal of 10200123 is 32100201.

It is a happy number.

10200123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10200107) and next prime (10200139).

It is not a de Polignac number, because 10200123 - 24 = 10200107 is a prime.

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

It is a Duffinian number.

10200123 is a modest number, since divided by 123 gives 102 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10200163) 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 11 ways as a sum of consecutive naturals, for example, 14983 + ... + 15648.

Almost surely, 210200123 is an apocalyptic number.

10200123 is a deficient number, since it is larger than the sum of its proper divisors (4932085).

10200123 is a wasteful number, since it uses less digits than its factorization.

10200123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30674 (or 30671 counting only the distinct ones).

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

The square root of 10200123 is about 3193.7631408732. The cubic root of 10200123 is about 216.8711602550.

Adding to 10200123 its reverse (32100201), we get a palindrome (42300324).

The spelling of 10200123 in words is "ten million, two hundred thousand, one hundred twenty-three".

Divisors: 1 3 9 37 111 333 30631 91893 275679 1133347 3400041 10200123