Search a number
-
+
312010300321 is a prime number
BaseRepresentation
bin1001000101001010100…
…00110101101110100001
31002211100112102111110221
410202211100311232201
520102444114102241
6355200251323041
731353622536226
oct4424520655641
91084315374427
10312010300321
11110360753735
1250577750481
132356515b8a5
141115c28194d
1581b1cb65d1
hex48a5435ba1

312010300321 has 2 divisors, whose sum is σ = 312010300322. Its totient is φ = 312010300320.

The previous prime is 312010300291. The next prime is 312010300337. The reversal of 312010300321 is 123003010213.

It is an a-pointer prime, because the next prime (312010300337) can be obtained adding 312010300321 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195442683921 + 116567616400 = 442089^2 + 341420^2 .

It is a cyclic number.

It is not a de Polignac number, because 312010300321 - 211 = 312010298273 is a prime.

It is a super-2 number, since 2×3120103003212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312010300295 and 312010300304.

It is not a weakly prime, because it can be changed into another prime (312010300361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156005150160 + 156005150161.

It is an arithmetic number, because the mean of its divisors is an integer number (156005150161).

Almost surely, 2312010300321 is an apocalyptic number.

It is an amenable number.

312010300321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312010300321 is an equidigital number, since it uses as much as digits as its factorization.

312010300321 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 16.

Adding to 312010300321 its reverse (123003010213), we get a palindrome (435013310534).

The spelling of 312010300321 in words is "three hundred twelve billion, ten million, three hundred thousand, three hundred twenty-one".