Search a number
-
+
331130012033 = 2961187184857
BaseRepresentation
bin1001101000110001110…
…00110000000110000001
31011122201000112111012202
410310120320300012001
520411123240341113
6412041413202545
732631465443042
oct4643070600601
91148630474182
10331130012033
11118482294077
1254212930455
13252c1351c82
141205369c8c9
1589305eb258
hex4d18e30181

331130012033 has 8 divisors (see below), whose sum is σ = 348163835880. Its totient is φ = 314470558080.

The previous prime is 331130012023. The next prime is 331130012039. The reversal of 331130012033 is 330210031133.

It can be written as a sum of positive squares in 4 ways, for example, as 2545404304 + 328584607729 = 50452^2 + 573223^2 .

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 331130012033 - 26 = 331130011969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331130011996 and 331130012014.

It is not an unprimeable number, because it can be changed into a prime (331130012039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93590660 + ... + 93594197.

It is an arithmetic number, because the mean of its divisors is an integer number (43520479485).

Almost surely, 2331130012033 is an apocalyptic number.

It is an amenable number.

331130012033 is a deficient number, since it is larger than the sum of its proper divisors (17033823847).

331130012033 is a wasteful number, since it uses less digits than its factorization.

331130012033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187184947.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 331130012033 its reverse (330210031133), we get a palindrome (661340043166).

The spelling of 331130012033 in words is "three hundred thirty-one billion, one hundred thirty million, twelve thousand, thirty-three".

Divisors: 1 29 61 1769 187184857 5428360853 11418276277 331130012033