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1303330331 = 61109211929
BaseRepresentation
bin100110110101111…
…0011111000011011
310100211110001002202
41031223303320123
510132123032311
6333154520415
744204060612
oct11553637033
93324401082
101303330331
11609772406
1230459610b
1317a032aa4
14c514a879
157964be3b
hex4daf3e1b

1303330331 has 16 divisors (see below), whose sum is σ = 1344631200. Its totient is φ = 1262822400.

The previous prime is 1303330321. The next prime is 1303330333. The reversal of 1303330331 is 1330333031.

It is a cyclic number.

It is not a de Polignac number, because 1303330331 - 218 = 1303068187 is a prime.

It is a super-2 number, since 2×13033303312 = 3397339903409139122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303330333) 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 15 ways as a sum of consecutive naturals, for example, 1402475 + ... + 1403403.

It is an arithmetic number, because the mean of its divisors is an integer number (84039450).

Almost surely, 21303330331 is an apocalyptic number.

1303330331 is a deficient number, since it is larger than the sum of its proper divisors (41300869).

1303330331 is a wasteful number, since it uses less digits than its factorization.

1303330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310.

The product of its (nonzero) digits is 729, while the sum is 20.

The square root of 1303330331 is about 36101.6665958789. Note that the first 3 decimals coincide. The cubic root of 1303330331 is about 1092.3240625941.

Adding to 1303330331 its reverse (1330333031), we get a palindrome (2633663362).

The spelling of 1303330331 in words is "one billion, three hundred three million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 61 109 211 929 6649 12871 22999 56669 101261 196019 1402939 6176921 11957159 21366071 1303330331