Search a number
-
+
200031123113 is a prime number
BaseRepresentation
bin1011101001001011001…
…0001011011010101001
3201010022111211220101022
42322102302023122221
511234130431414423
6231520521102225
720310646330643
oct2722262133251
9633274756338
10200031123113
1177918399488
1232926027975
1315b2a8c8413
1499782a3893
15530b070dc8
hex2e92c8b6a9

200031123113 has 2 divisors, whose sum is σ = 200031123114. Its totient is φ = 200031123112.

The previous prime is 200031123013. The next prime is 200031123133. The reversal of 200031123113 is 311321130002.

200031123113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199297959184 + 733163929 = 446428^2 + 27077^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200031123113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200031123091 and 200031123100.

It is not a weakly prime, because it can be changed into another prime (200031123133) 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, 100015561556 + 100015561557.

It is an arithmetic number, because the mean of its divisors is an integer number (100015561557).

Almost surely, 2200031123113 is an apocalyptic number.

It is an amenable number.

200031123113 is a deficient number, since it is larger than the sum of its proper divisors (1).

200031123113 is an equidigital number, since it uses as much as digits as its factorization.

200031123113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 200031123113 its reverse (311321130002), we get a palindrome (511352253115).

The spelling of 200031123113 in words is "two hundred billion, thirty-one million, one hundred twenty-three thousand, one hundred thirteen".