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1321303005 = 325116143759
BaseRepresentation
bin100111011000001…
…0111101111011101
310102002021010222100
41032300113233131
510201223144010
6335040035313
744512614231
oct11660275735
93362233870
101321303005
11618928560
1230a602b39
131809864c9
14c76a85c1
157aeec2c0
hex4ec17bdd

1321303005 has 48 divisors (see below), whose sum is σ = 2539480320. Its totient is φ = 630115200.

The previous prime is 1321302991. The next prime is 1321303007. The reversal of 1321303005 is 5003031231.

It is not a de Polignac number, because 1321303005 - 210 = 1321301981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321303007) 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 47 ways as a sum of consecutive naturals, for example, 8316 + ... + 52074.

It is an arithmetic number, because the mean of its divisors is an integer number (52905840).

Almost surely, 21321303005 is an apocalyptic number.

1321303005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1321303005 is a deficient number, since it is larger than the sum of its proper divisors (1218177315).

1321303005 is a wasteful number, since it uses less digits than its factorization.

1321303005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43842 (or 43839 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1321303005 is about 36349.7318422021. The cubic root of 1321303005 is about 1097.3221377632.

Adding to 1321303005 its reverse (5003031231), we get a palindrome (6324334236).

The spelling of 1321303005 in words is "one billion, three hundred twenty-one million, three hundred three thousand, five".

Divisors: 1 3 5 9 11 15 33 45 55 61 99 165 183 305 495 549 671 915 2013 2745 3355 6039 10065 30195 43759 131277 218795 393831 481349 656385 1444047 1969155 2406745 2669299 4332141 7220235 8007897 13346495 21660705 24023691 29362289 40039485 88086867 120118455 146811445 264260601 440434335 1321303005