Search a number
-
+
405333101 is a prime number
BaseRepresentation
bin11000001010001…
…110010001101101
31001020201001111002
4120022032101231
51312231124401
6104115410045
713021163105
oct3012162155
91036631432
10405333101
11198888838
12b38b3925
1365c8ab94
143bb92205
15258b8a6b
hex1828e46d

405333101 has 2 divisors, whose sum is σ = 405333102. Its totient is φ = 405333100.

The previous prime is 405333079. The next prime is 405333139. The reversal of 405333101 is 101333504.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 397204900 + 8128201 = 19930^2 + 2851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405333101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405333151) 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, 202666550 + 202666551.

It is an arithmetic number, because the mean of its divisors is an integer number (202666551).

Almost surely, 2405333101 is an apocalyptic number.

It is an amenable number.

405333101 is a deficient number, since it is larger than the sum of its proper divisors (1).

405333101 is an equidigital number, since it uses as much as digits as its factorization.

405333101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 405333101 is about 20132.8860573938. The cubic root of 405333101 is about 740.0664056551.

Adding to 405333101 its reverse (101333504), we get a palindrome (506666605).

It can be divided in two parts, 40533 and 3101, that added together give a palindrome (43634).

The spelling of 405333101 in words is "four hundred five million, three hundred thirty-three thousand, one hundred one".