Search a number
-
+
133020001 is a prime number
BaseRepresentation
bin1111110110110…
…11100101100001
3100021022010010201
413323123211201
5233023120001
621111025201
73203436262
oct773334541
9307263121
10133020001
11690a4994
123866b201
132173527a
1413948969
15ba28501
hex7edb961

133020001 has 2 divisors, whose sum is σ = 133020002. Its totient is φ = 133020000.

The previous prime is 133019993. The next prime is 133020037. The reversal of 133020001 is 100020331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130507776 + 2512225 = 11424^2 + 1585^2 .

It is an emirp because it is prime and its reverse (100020331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133020001 - 23 = 133019993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133020001.

It is not a weakly prime, because it can be changed into another prime (133020401) 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, 66510000 + 66510001.

It is an arithmetic number, because the mean of its divisors is an integer number (66510001).

Almost surely, 2133020001 is an apocalyptic number.

It is an amenable number.

133020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

133020001 is an equidigital number, since it uses as much as digits as its factorization.

133020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 133020001 is about 11533.4297153969. The cubic root of 133020001 is about 510.4724585063.

Adding to 133020001 its reverse (100020331), we get a palindrome (233040332).

The spelling of 133020001 in words is "one hundred thirty-three million, twenty thousand, one".