Search a number
-
+
332322322113331 = 11222711312092947
BaseRepresentation
bin100101110001111101101000…
…1111101011110001100110011
31121120122201000000102001221121
41023203323101331132030303
5322024232103430111311
63134442433414003111
7126666331640345434
oct11343732175361463
91546581000361847
10332322322113331
1196985118231800
1231332361346497
1311357b256ca0c4
145c0c6b424348b
1528646ed82db71
hex12e3ed1f5e333

332322322113331 has 12 divisors (see below), whose sum is σ = 365281546345576. Its totient is φ = 302109846714720.

The previous prime is 332322322113307. The next prime is 332322322113389. The reversal of 332322322113331 is 133311223223233.

It is a happy number.

It is not a de Polignac number, because 332322322113331 - 239 = 331772566299443 is a prime.

It is a super-2 number, since 2×3323223221133312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332322322116331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21434200 + ... + 33527146.

Almost surely, 2332322322113331 is an apocalyptic number.

332322322113331 is a deficient number, since it is larger than the sum of its proper divisors (32959224232245).

332322322113331 is a wasteful number, since it uses less digits than its factorization.

332322322113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320082 (or 12320071 counting only the distinct ones).

The product of its digits is 69984, while the sum is 34.

Adding to 332322322113331 its reverse (133311223223233), we get a palindrome (465633545336564).

The spelling of 332322322113331 in words is "three hundred thirty-two trillion, three hundred twenty-two billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 11 121 227113 2498243 12092947 27480673 133022417 1463246587 2746465472011 30211120192121 332322322113331