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40100813 is a prime number
BaseRepresentation
bin1001100011111…
…0001111001101
32210110022222022
42120332033031
540231211223
63551255525
7664564664
oct230761715
983408868
1040100813
11206aa375
121151a5a5
1384006bc
14547bddb
1537c1ac8
hex263e3cd

40100813 has 2 divisors, whose sum is σ = 40100814. Its totient is φ = 40100812.

The previous prime is 40100791. The next prime is 40100831. The reversal of 40100813 is 31800104.

It is a happy number.

Together with next prime (40100831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21325924 + 18774889 = 4618^2 + 4333^2 .

It is a cyclic number.

It is not a de Polignac number, because 40100813 - 222 = 35906509 is a prime.

40100813 is a modest number, since divided by 813 gives 401 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 40100791 and 40100800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40100113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20050406 + 20050407.

It is an arithmetic number, because the mean of its divisors is an integer number (20050407).

Almost surely, 240100813 is an apocalyptic number.

It is an amenable number.

40100813 is a deficient number, since it is larger than the sum of its proper divisors (1).

40100813 is an equidigital number, since it uses as much as digits as its factorization.

40100813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 40100813 is about 6332.5202723718. The cubic root of 40100813 is about 342.2822613072.

Adding to 40100813 its reverse (31800104), we get a palindrome (71900917).

The spelling of 40100813 in words is "forty million, one hundred thousand, eight hundred thirteen".