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331332032133 = 32191937614223
BaseRepresentation
bin1001101001001001110…
…11011001011010000101
31011200020002200011200200
410310210323121122011
520412032000012013
6412113431201113
732636500542654
oct4644473313205
91150202604620
10331332032133
11118576326833
125426a516199
13253241658ab
141207244919b
158943203e73
hex4d24ed9685

331332032133 has 12 divisors (see below), whose sum is σ = 503779698240. Its totient is φ = 209262335976.

The previous prime is 331332032117. The next prime is 331332032147. The reversal of 331332032133 is 331230233133.

331332032133 is a `hidden beast` number, since 3 + 3 + 1 + 332 + 0 + 321 + 3 + 3 = 666.

It is not a de Polignac number, because 331332032133 - 24 = 331332032117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331332032097 and 331332032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331332032173) 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 in 11 ways as a sum of consecutive naturals, for example, 968806941 + ... + 968807282.

It is an arithmetic number, because the mean of its divisors is an integer number (41981641520).

Almost surely, 2331332032133 is an apocalyptic number.

It is an amenable number.

331332032133 is a deficient number, since it is larger than the sum of its proper divisors (172447666107).

331332032133 is a wasteful number, since it uses less digits than its factorization.

331332032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937614248 (or 1937614245 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 331332032133 its reverse (331230233133), we get a palindrome (662562265266).

The spelling of 331332032133 in words is "three hundred thirty-one billion, three hundred thirty-two million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 19 57 171 1937614223 5812842669 17438528007 36814670237 110444010711 331332032133