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402124221841 is a prime number
BaseRepresentation
bin1011101101000000111…
…10001010110110010001
31102102221201200000112211
411312200132022312101
523042022300044331
6504422221352121
741024004326416
oct5664036126621
91372851600484
10402124221841
111455a3704741
1265b26708641
132bbc675a144
141566a35610d
15a6d81478b1
hex5da078ad91

402124221841 has 2 divisors, whose sum is σ = 402124221842. Its totient is φ = 402124221840.

The previous prime is 402124221773. The next prime is 402124221853. The reversal of 402124221841 is 148122421204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391000090000 + 11124131841 = 625300^2 + 105471^2 .

It is a cyclic number.

It is not a de Polignac number, because 402124221841 - 211 = 402124219793 is a prime.

It is not a weakly prime, because it can be changed into another prime (402124221871) 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, 201062110920 + 201062110921.

It is an arithmetic number, because the mean of its divisors is an integer number (201062110921).

Almost surely, 2402124221841 is an apocalyptic number.

It is an amenable number.

402124221841 is a deficient number, since it is larger than the sum of its proper divisors (1).

402124221841 is an equidigital number, since it uses as much as digits as its factorization.

402124221841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 31.

The spelling of 402124221841 in words is "four hundred two billion, one hundred twenty-four million, two hundred twenty-one thousand, eight hundred forty-one".