Base | Representation |
---|---|
bin | 1011111011111… |
… | …00000110001111 |
3 | 20222101202222010 |
4 | 11331330012033 |
5 | 201112414043 |
6 | 13533552303 |
7 | 2324013600 |
oct | 575740617 |
9 | 228352863 |
10 | 100123023 |
11 | 51575a00 |
12 | 29645693 |
13 | 179877c0 |
14 | d423da7 |
15 | 8bcb133 |
hex | 5f7c18f |
100123023 has 72 divisors (see below), whose sum is σ = 184248624. Its totient is φ = 47900160.
The previous prime is 100122977. The next prime is 100123039. The reversal of 100123023 is 320321001.
It is a happy number.
It is not a de Polignac number, because 100123023 - 212 = 100118927 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100123063) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231015 + ... + 231447.
Almost surely, 2100123023 is an apocalyptic number.
100123023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
100123023 is a deficient number, since it is larger than the sum of its proper divisors (84125601).
100123023 is a wasteful number, since it uses less digits than its factorization.
100123023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 485 (or 467 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 100123023 is about 10006.1492593305. The cubic root of 100123023 is about 464.3491460880.
Adding to 100123023 its reverse (320321001), we get a palindrome (420444024).
The spelling of 100123023 in words is "one hundred million, one hundred twenty-three thousand, twenty-three".
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