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3313322122001 is a prime number
BaseRepresentation
bin110000001101110001011…
…000110101101100010001
3102201202021010010012222012
4300031301120311230101
5413241140430401001
611014041423552305
7461244132231323
oct60156130655421
912652233105865
103313322122001
111068198a61461
12456188a5b695
131b05a26a5528
14b6519495613
155b2c17832bb
hex30371635b11

3313322122001 has 2 divisors, whose sum is σ = 3313322122002. Its totient is φ = 3313322122000.

The previous prime is 3313322121983. The next prime is 3313322122013. The reversal of 3313322122001 is 1002212233133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3153980643025 + 159341478976 = 1775945^2 + 399176^2 .

It is a cyclic number.

It is not a de Polignac number, because 3313322122001 - 26 = 3313322121937 is a prime.

It is not a weakly prime, because it can be changed into another prime (3313322122081) 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, 1656661061000 + 1656661061001.

It is an arithmetic number, because the mean of its divisors is an integer number (1656661061001).

Almost surely, 23313322122001 is an apocalyptic number.

It is an amenable number.

3313322122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3313322122001 is an equidigital number, since it uses as much as digits as its factorization.

3313322122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 3313322122001 its reverse (1002212233133), we get a palindrome (4315534355134).

The spelling of 3313322122001 in words is "three trillion, three hundred thirteen billion, three hundred twenty-two million, one hundred twenty-two thousand, one".