Search a number
-
+
3100312013 is a prime number
BaseRepresentation
bin1011100011001011…
…0000000111001101
322000001210011112212
42320302300013031
522322134441023
61231350240205
7136554134351
oct27062600715
98001704485
103100312013
111351055337
12726356065
133a5407066
14215a79461
151322aae78
hexb8cb01cd

3100312013 has 2 divisors, whose sum is σ = 3100312014. Its totient is φ = 3100312012.

The previous prime is 3100312003. The next prime is 3100312027. The reversal of 3100312013 is 3102130013.

It is an a-pointer prime, because the next prime (3100312027) can be obtained adding 3100312013 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2789212969 + 311099044 = 52813^2 + 17638^2 .

It is an emirp because it is prime and its reverse (3102130013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3100312013 is a prime.

It is a super-2 number, since 2×31003120132 = 19223869155904224338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3100312003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550156006 + 1550156007.

It is an arithmetic number, because the mean of its divisors is an integer number (1550156007).

Almost surely, 23100312013 is an apocalyptic number.

It is an amenable number.

3100312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3100312013 is an equidigital number, since it uses as much as digits as its factorization.

3100312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3100312013 is about 55680.4455172550. The cubic root of 3100312013 is about 1458.1486531182.

Adding to 3100312013 its reverse (3102130013), we get a palindrome (6202442026).

The spelling of 3100312013 in words is "three billion, one hundred million, three hundred twelve thousand, thirteen".