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3133045544401 is a prime number
BaseRepresentation
bin101101100101111000000…
…100010001010111010001
3102002111221022221012120201
4231211320010101113101
5402312434124410101
610355145023135201
7442232534503453
oct55457004212721
912074838835521
103133045544401
11aa8798593453
12427256744501
131995a26742c6
14ab8d6a622d3
155676eb45e01
hex2d9781115d1

3133045544401 has 2 divisors, whose sum is σ = 3133045544402. Its totient is φ = 3133045544400.

The previous prime is 3133045544329. The next prime is 3133045544411. The reversal of 3133045544401 is 1044455403313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2713271134401 + 419774410000 = 1647201^2 + 647900^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133045544401 - 27 = 3133045544273 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133045544411) 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, 1566522772200 + 1566522772201.

It is an arithmetic number, because the mean of its divisors is an integer number (1566522772201).

Almost surely, 23133045544401 is an apocalyptic number.

It is an amenable number.

3133045544401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133045544401 is an equidigital number, since it uses as much as digits as its factorization.

3133045544401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 3133045544401 in words is "three trillion, one hundred thirty-three billion, forty-five million, five hundred forty-four thousand, four hundred one".