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405052121 is a prime number
BaseRepresentation
bin11000001001001…
…001101011011001
31001020011210001102
4120021021223121
51312143131441
6104105401145
713015612655
oct3011115331
91036153042
10405052121
11198706721
12b37991b5
1365bc0016
143bb1ba65
152586069b
hex18249ad9

405052121 has 2 divisors, whose sum is σ = 405052122. Its totient is φ = 405052120.

The previous prime is 405052111. The next prime is 405052147. The reversal of 405052121 is 121250504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214915600 + 190136521 = 14660^2 + 13789^2 .

It is a cyclic number.

It is not a de Polignac number, because 405052121 - 226 = 337943257 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 405052093 and 405052102.

It is not a weakly prime, because it can be changed into another prime (405052111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202526060 + 202526061.

It is an arithmetic number, because the mean of its divisors is an integer number (202526061).

Almost surely, 2405052121 is an apocalyptic number.

It is an amenable number.

405052121 is a deficient number, since it is larger than the sum of its proper divisors (1).

405052121 is an equidigital number, since it uses as much as digits as its factorization.

405052121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 405052121 is about 20125.9067124937. The cubic root of 405052121 is about 739.8953595648.

The spelling of 405052121 in words is "four hundred five million, fifty-two thousand, one hundred twenty-one".