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1303303331 = 111371934481
BaseRepresentation
bin100110110101110…
…1101010010100011
310100211101200001202
41031223231102203
510132121201311
6333154151415
744203616111
oct11553552243
93324350052
101303303331
116097540a0
1230458256b
1317a023705
14c5140ab1
1579643e3b
hex4daed4a3

1303303331 has 16 divisors (see below), whose sum is σ = 1439905248. Its totient is φ = 1169817600.

The previous prime is 1303303327. The next prime is 1303303343. The reversal of 1303303331 is 1333033031.

It is a cyclic number.

It is not a de Polignac number, because 1303303331 - 22 = 1303303327 is a prime.

It is a super-2 number, since 2×13033033312 = 3397199145191391122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303303301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288611 + ... + 293091.

It is an arithmetic number, because the mean of its divisors is an integer number (89994078).

Almost surely, 21303303331 is an apocalyptic number.

1303303331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303303331 is a deficient number, since it is larger than the sum of its proper divisors (136601917).

1303303331 is a wasteful number, since it uses less digits than its factorization.

1303303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822.

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

The square root of 1303303331 is about 36101.2926499869. The cubic root of 1303303331 is about 1092.3165196219.

Adding to 1303303331 its reverse (1333033031), we get a palindrome (2636336362).

The spelling of 1303303331 in words is "one billion, three hundred three million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 11 137 193 1507 2123 4481 26441 49291 290851 613897 864833 6752867 9513163 118482121 1303303331