Search a number
-
+
133302120001 is a prime number
BaseRepresentation
bin111110000100101101…
…1001110111001000001
3110202002001110022200121
41330021123032321001
54141000320320001
6141123235020241
712426231216241
oct1741133167101
9422061408617
10133302120001
1151595631826
1221a0273a681
13c755049aab
146647c77b21
153702bd46a1
hex1f096cee41

133302120001 has 2 divisors, whose sum is σ = 133302120002. Its totient is φ = 133302120000.

The previous prime is 133302119947. The next prime is 133302120023. The reversal of 133302120001 is 100021203331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117786926401 + 15515193600 = 343201^2 + 124560^2 .

It is a cyclic number.

It is not a de Polignac number, because 133302120001 - 235 = 98942381633 is a prime.

It is a super-2 number, since 2×1333021200012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133302120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66651060000 + 66651060001.

It is an arithmetic number, because the mean of its divisors is an integer number (66651060001).

Almost surely, 2133302120001 is an apocalyptic number.

It is an amenable number.

133302120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

133302120001 is an equidigital number, since it uses as much as digits as its factorization.

133302120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133302120001 its reverse (100021203331), we get a palindrome (233323323332).

The spelling of 133302120001 in words is "one hundred thirty-three billion, three hundred two million, one hundred twenty thousand, one".