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1303003107 = 327232573499
BaseRepresentation
bin100110110101010…
…0011111111100011
310100210211102020100
41031222203333203
510132032044412
6333143513443
744201225610
oct11552437743
93323742210
101303003107
1160956957a
12304458883
13179c49b73
14c50a3507
15795d4edc
hex4daa3fe3

1303003107 has 48 divisors (see below), whose sum is σ = 2253888000. Its totient is φ = 709226496.

The previous prime is 1303003099. The next prime is 1303003123. The reversal of 1303003107 is 7013003031.

It is not a de Polignac number, because 1303003107 - 23 = 1303003099 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1303003107.

It is not an unprimeable number, because it can be changed into a prime (1303003187) 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, 370644 + ... + 374142.

It is an arithmetic number, because the mean of its divisors is an integer number (46956000).

Almost surely, 21303003107 is an apocalyptic number.

1303003107 is a deficient number, since it is larger than the sum of its proper divisors (950884893).

1303003107 is a wasteful number, since it uses less digits than its factorization.

1303003107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 1303003107 is about 36097.1343322431. The cubic root of 1303003107 is about 1092.2326392207.

Adding to 1303003107 its reverse (7013003031), we get a palindrome (8316006138).

The spelling of 1303003107 in words is "one billion, three hundred three million, three thousand, one hundred seven".

Divisors: 1 3 7 9 21 23 63 69 161 207 257 483 771 1449 1799 2313 3499 5397 5911 10497 16191 17733 24493 31491 41377 53199 73479 80477 124131 220437 241431 372393 563339 724293 899243 1690017 2697729 5070051 6294701 8093187 18884103 20682589 56652309 62047767 144778123 186143301 434334369 1303003107