Search a number
-
+
133041001 is a prime number
BaseRepresentation
bin1111110111000…
…00101101101001
3100021100011221111
413323200231221
5233024303001
621111310321
73203554432
oct773405551
9307304844
10133041001
1169109745
123867b3a1
13217419b2
1413952489
15ba2e851
hex7ee0b69

133041001 has 2 divisors, whose sum is σ = 133041002. Its totient is φ = 133041000.

The previous prime is 133040989. The next prime is 133041037. The reversal of 133041001 is 100140331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121992025 + 11048976 = 11045^2 + 3324^2 .

It is a cyclic number.

It is not a de Polignac number, because 133041001 - 25 = 133040969 is a prime.

It is a super-3 number, since 3×1330410013 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (133041071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66520500 + 66520501.

It is an arithmetic number, because the mean of its divisors is an integer number (66520501).

Almost surely, 2133041001 is an apocalyptic number.

It is an amenable number.

133041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

133041001 is an equidigital number, since it uses as much as digits as its factorization.

133041001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 133041001 is about 11534.3400764847. The cubic root of 133041001 is about 510.4993200246.

Adding to 133041001 its reverse (100140331), we get a palindrome (233181332).

The spelling of 133041001 in words is "one hundred thirty-three million, forty-one thousand, one".