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1303330133 = 71975411747
BaseRepresentation
bin100110110101111…
…0011110101010101
310100211110000211102
41031223303311111
510132123031013
6333154515445
744204060210
oct11553636525
93324400742
101303330133
11609772246
12304595b85
1317a032981
14c514a777
157964bd58
hex4daf3d55

1303330133 has 16 divisors (see below), whose sum is σ = 1500706944. Its totient is φ = 1108779840.

The previous prime is 1303330123. The next prime is 1303330141. The reversal of 1303330133 is 3310333031.

It is not a de Polignac number, because 1303330133 - 28 = 1303329877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303330103) 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, 745166 + ... + 746912.

It is an arithmetic number, because the mean of its divisors is an integer number (93794184).

Almost surely, 21303330133 is an apocalyptic number.

It is an amenable number.

1303330133 is a deficient number, since it is larger than the sum of its proper divisors (197376811).

1303330133 is a wasteful number, since it uses less digits than its factorization.

1303330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492.

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

The square root of 1303330133 is about 36101.6638536231. The cubic root of 1303330133 is about 1092.3240072794.

Adding to 1303330133 its reverse (3310333031), we get a palindrome (4613663164).

It can be divided in two parts, 1303330 and 133, that multiplied together give a triangular number (173342890 = T18619).

The spelling of 1303330133 in words is "one billion, three hundred three million, three hundred thirty thousand, one hundred thirty-three".

Divisors: 1 7 197 541 1379 1747 3787 12229 106577 344159 746039 945127 2409113 6615889 186190019 1303330133