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313002020021 is a prime number
BaseRepresentation
bin1001000111000000101…
…11111100110010110101
31002220220122112002011012
410203200113330302311
520112012004120041
6355442515322005
731420324162265
oct4434027746265
91086818462135
10313002020021
1111081a531399
12507b38b0305
1323692759b92
1411213c757a5
15821ddae3eb
hex48e05fccb5

313002020021 has 2 divisors, whose sum is σ = 313002020022. Its totient is φ = 313002020020.

The previous prime is 313002020003. The next prime is 313002020039. The reversal of 313002020021 is 120020200313.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (313002020003) and next prime (313002020039).

It can be written as a sum of positive squares in only one way, i.e., 312732600625 + 269419396 = 559225^2 + 16414^2 .

It is a cyclic number.

It is not a de Polignac number, because 313002020021 - 210 = 313002018997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313002019978 and 313002020005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313002020081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156501010010 + 156501010011.

It is an arithmetic number, because the mean of its divisors is an integer number (156501010011).

Almost surely, 2313002020021 is an apocalyptic number.

It is an amenable number.

313002020021 is a deficient number, since it is larger than the sum of its proper divisors (1).

313002020021 is an equidigital number, since it uses as much as digits as its factorization.

313002020021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 313002020021 its reverse (120020200313), we get a palindrome (433022220334).

The spelling of 313002020021 in words is "three hundred thirteen billion, two million, twenty thousand, twenty-one".