Search a number
-
+
200312315201 is a prime number
BaseRepresentation
bin1011101010001110001…
…0110101110101000001
3201011001002221221102002
42322203202311311001
511240214423041301
6232004444033345
720320632404645
oct2724342656501
9634032857362
10200312315201
1177a52097239
12329a4232855
1315b73c3c57b
1499a377cc25
155325ab716b
hex2ea38b5d41

200312315201 has 2 divisors, whose sum is σ = 200312315202. Its totient is φ = 200312315200.

The previous prime is 200312315173. The next prime is 200312315249. The reversal of 200312315201 is 102513213002.

200312315201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123095020801 + 77217294400 = 350849^2 + 277880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200312315201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (200312315261) 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, 100156157600 + 100156157601.

It is an arithmetic number, because the mean of its divisors is an integer number (100156157601).

Almost surely, 2200312315201 is an apocalyptic number.

It is an amenable number.

200312315201 is a deficient number, since it is larger than the sum of its proper divisors (1).

200312315201 is an equidigital number, since it uses as much as digits as its factorization.

200312315201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 200312315201 its reverse (102513213002), we get a palindrome (302825528203).

The spelling of 200312315201 in words is "two hundred billion, three hundred twelve million, three hundred fifteen thousand, two hundred one".