Search a number
-
+
42333043332001 is a prime number
BaseRepresentation
bin10011010000000011011100…
…00000101001001110100001
312112212222222120120002001211
421220001232000221032201
521022041033043111001
6230011310455430121
711626314164132152
oct1150015600511641
9175788876502054
1042333043332001
11125413853825a4
1248b8516685341
131a80cb1699396
14a64d0479b929
154d62a6285351
hex26806e0293a1

42333043332001 has 2 divisors, whose sum is σ = 42333043332002. Its totient is φ = 42333043332000.

The previous prime is 42333043331987. The next prime is 42333043332007. The reversal of 42333043332001 is 10023334033324.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31464515736976 + 10868527595025 = 5609324^2 + 3296745^2 .

It is a cyclic number.

It is not a de Polignac number, because 42333043332001 - 29 = 42333043331489 is a prime.

It is a super-5 number, since 5×423330433320015 (a number of 69 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (42333043332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21166521666000 + 21166521666001.

It is an arithmetic number, because the mean of its divisors is an integer number (21166521666001).

Almost surely, 242333043332001 is an apocalyptic number.

It is an amenable number.

42333043332001 is a deficient number, since it is larger than the sum of its proper divisors (1).

42333043332001 is an equidigital number, since it uses as much as digits as its factorization.

42333043332001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 42333043332001 its reverse (10023334033324), we get a palindrome (52356377365325).

The spelling of 42333043332001 in words is "forty-two trillion, three hundred thirty-three billion, forty-three million, three hundred thirty-two thousand, one".