Search a number
-
+
312150313021 is a prime number
BaseRepresentation
bin1001000101011011001…
…10111100100000111101
31002211201021212212210111
410202231212330200331
520103240440004041
6355222212310021
731360242611431
oct4425546744075
91084637785714
10312150313021
11110422794308
12505b6612311
1323588171941
1411172aca9c1
1581be221981
hex48ad9bc83d

312150313021 has 2 divisors, whose sum is σ = 312150313022. Its totient is φ = 312150313020.

The previous prime is 312150313019. The next prime is 312150313061. The reversal of 312150313021 is 120313051213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301274743225 + 10875569796 = 548885^2 + 104286^2 .

It is a cyclic number.

It is not a de Polignac number, because 312150313021 - 21 = 312150313019 is a prime.

It is a super-3 number, since 3×3121503130213 (a number of 35 digits) contains 333 as substring.

Together with 312150313019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 312150312983 and 312150313001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312150313001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156075156510 + 156075156511.

It is an arithmetic number, because the mean of its divisors is an integer number (156075156511).

Almost surely, 2312150313021 is an apocalyptic number.

It is an amenable number.

312150313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

312150313021 is an equidigital number, since it uses as much as digits as its factorization.

312150313021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 312150313021 its reverse (120313051213), we get a palindrome (432463364234).

The spelling of 312150313021 in words is "three hundred twelve billion, one hundred fifty million, three hundred thirteen thousand, twenty-one".