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40100123 = 7431271049
BaseRepresentation
bin1001100011111…
…0000100011011
32210110022000202
42120332010123
540231200443
63551252415
7664562660
oct230760433
983408022
1040100123
11206a98a8
121151a10b
1384002ab
14547ba67
1537c17b8
hex263e11b

40100123 has 16 divisors (see below), whose sum is σ = 47308800. Its totient is φ = 33276096.

The previous prime is 40100113. The next prime is 40100129. The reversal of 40100123 is 32100104.

It is a happy number.

40100123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40100123 - 28 = 40099867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40100129) 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 15 ways as a sum of consecutive naturals, for example, 37703 + ... + 38751.

It is an arithmetic number, because the mean of its divisors is an integer number (2956800).

Almost surely, 240100123 is an apocalyptic number.

40100123 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

40100123 is a deficient number, since it is larger than the sum of its proper divisors (7208677).

40100123 is a wasteful number, since it uses less digits than its factorization.

40100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 40100123 is about 6332.4657914591. The cubic root of 40100123 is about 342.2802981208.

Adding to 40100123 its reverse (32100104), we get a palindrome (72200227).

The spelling of 40100123 in words is "forty million, one hundred thousand, one hundred twenty-three".

Divisors: 1 7 43 127 301 889 1049 5461 7343 38227 45107 133223 315749 932561 5728589 40100123