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3381248001601 is a prime number
BaseRepresentation
bin110001001101000010000…
…101100000011001000001
3102222020120222122102112201
4301031002011200121001
5420344243442022401
611105153543153201
7466200322541611
oct61150205403101
912866528572481
103381248001601
111093a85391138
12467385145801
131b6b091c36b2
14b992083aa41
155ce49c3eb01
hex31342160641

3381248001601 has 2 divisors, whose sum is σ = 3381248001602. Its totient is φ = 3381248001600.

The previous prime is 3381248001587. The next prime is 3381248001613. The reversal of 3381248001601 is 1061008421833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2898424530576 + 482823471025 = 1702476^2 + 694855^2 .

It is a cyclic number.

It is not a de Polignac number, because 3381248001601 - 229 = 3380711130689 is a prime.

It is a super-2 number, since 2×33812480016012 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3381248007601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1690624000800 + 1690624000801.

It is an arithmetic number, because the mean of its divisors is an integer number (1690624000801).

Almost surely, 23381248001601 is an apocalyptic number.

It is an amenable number.

3381248001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3381248001601 is an equidigital number, since it uses as much as digits as its factorization.

3381248001601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 3381248001601 in words is "three trillion, three hundred eighty-one billion, two hundred forty-eight million, one thousand, six hundred one".