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100110013 is a prime number
BaseRepresentation
bin1011111011110…
…00111010111101
320222101010010021
411331320322331
5201112010023
613533412141
72323630633
oct575707275
9228333107
10100110013
1151567153
122963a051
13179818c3
14d41d353
158bc735d
hex5f78ebd

100110013 has 2 divisors, whose sum is σ = 100110014. Its totient is φ = 100110012.

The previous prime is 100109983. The next prime is 100110019. The reversal of 100110013 is 310011001.

Adding to 100110013 its reverse (310011001), we get a palindrome (410121014).

It can be divided in two parts, 10011001 and 3, that multiplied together give a palindrome (30033003).

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79334649 + 20775364 = 8907^2 + 4558^2 .

It is an emirp because it is prime and its reverse (310011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110013 - 225 = 66555581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100109978 and 100110005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055006 + 50055007.

It is an arithmetic number, because the mean of its divisors is an integer number (50055007).

Almost surely, 2100110013 is an apocalyptic number.

It is an amenable number.

100110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110013 is an equidigital number, since it uses as much as digits as its factorization.

100110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 100110013 is about 10005.4991379741. The cubic root of 100110013 is about 464.3290326852.

The spelling of 100110013 in words is "one hundred million, one hundred ten thousand, thirteen".