Search a number
-
+
133300312331 = 1734922467607
BaseRepresentation
bin111110000100101010…
…0010101100100001011
3110202001221001111000212
41330021110111210023
54140444334443311
6141123132151335
712426206650124
oct1741124254413
9422057044025
10133300312331
115159460768a
1221a0200854b
13c754866074
14664792704b
153702978c8b
hex1f0951590b

133300312331 has 8 divisors (see below), whose sum is σ = 141545930400. Its totient is φ = 125099630208.

The previous prime is 133300312259. The next prime is 133300312333. The reversal of 133300312331 is 133213003331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133300312331 - 218 = 133300050187 is a prime.

It is a super-2 number, since 2×1333003123312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133300312297 and 133300312306.

It is not an unprimeable number, because it can be changed into a prime (133300312333) 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 in 7 ways as a sum of consecutive naturals, for example, 11227871 + ... + 11239736.

It is an arithmetic number, because the mean of its divisors is an integer number (17693241300).

Almost surely, 2133300312331 is an apocalyptic number.

133300312331 is a deficient number, since it is larger than the sum of its proper divisors (8245618069).

133300312331 is a wasteful number, since it uses less digits than its factorization.

133300312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22467973.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 133300312331 its reverse (133213003331), we get a palindrome (266513315662).

The spelling of 133300312331 in words is "one hundred thirty-three billion, three hundred million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 17 349 5933 22467607 381949319 7841194843 133300312331