Search a number
-
+
312202203300121 is a prime number
BaseRepresentation
bin100011011111100100011110…
…1011011010000000100011001
31111221102020110100012121201011
41012333020331123100010121
5311410110103021100441
63023555413500453521
7122521602432262111
oct10677107533200431
91457366410177634
10312202203300121
1190528235739512
122b022a6624a2a1
131052870672c344
14571494ad92041
152616168373581
hex11bf23d6d0119

312202203300121 has 2 divisors, whose sum is σ = 312202203300122. Its totient is φ = 312202203300120.

The previous prime is 312202203300109. The next prime is 312202203300133. The reversal of 312202203300121 is 121003302202213.

It is a balanced prime because it is at equal distance from previous prime (312202203300109) and next prime (312202203300133).

It can be written as a sum of positive squares in only one way, i.e., 312197624883225 + 4578416896 = 17669115^2 + 67664^2 .

It is a cyclic number.

It is not a de Polignac number, because 312202203300121 - 235 = 312167843561753 is a prime.

It is a super-2 number, since 2×3122022033001212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312202203300092 and 312202203300101.

It is not a weakly prime, because it can be changed into another prime (312202203300721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156101101650060 + 156101101650061.

It is an arithmetic number, because the mean of its divisors is an integer number (156101101650061).

Almost surely, 2312202203300121 is an apocalyptic number.

It is an amenable number.

312202203300121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312202203300121 is an equidigital number, since it uses as much as digits as its factorization.

312202203300121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312202203300121 its reverse (121003302202213), we get a palindrome (433205505502334).

The spelling of 312202203300121 in words is "three hundred twelve trillion, two hundred two billion, two hundred three million, three hundred thousand, one hundred twenty-one".