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1303003131 = 317157353461
BaseRepresentation
bin100110110101010…
…0011111111111011
310100210211102021020
41031222203333323
510132032100011
6333143513523
744201225643
oct11552437773
93323742236
101303003131
116095695a1
123044588a3
13179c49b91
14c50a3523
15795d5006
hex4daa3ffb

1303003131 has 32 divisors (see below), whose sum is σ = 1860522048. Its totient is φ = 808304640.

The previous prime is 1303003123. The next prime is 1303003171. The reversal of 1303003131 is 1313003031.

It is not a de Polignac number, because 1303003131 - 23 = 1303003123 is a prime.

It is a super-2 number, since 2×13030031312 = 3395634318791606322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1303003131.

It is not an unprimeable number, because it can be changed into a prime (1303003171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826241 + ... + 2826701.

It is an arithmetic number, because the mean of its divisors is an integer number (58141314).

Almost surely, 21303003131 is an apocalyptic number.

1303003131 is a deficient number, since it is larger than the sum of its proper divisors (557518917).

1303003131 is a wasteful number, since it uses less digits than its factorization.

1303003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1303003131 is about 36097.1346646794. The cubic root of 1303003131 is about 1092.2326459266.

Adding to 1303003131 its reverse (1313003031), we get a palindrome (2616006162).

The spelling of 1303003131 in words is "one billion, three hundred three million, three thousand, one hundred thirty-one".

Divisors: 1 3 17 51 157 353 461 471 1059 1383 2669 6001 7837 8007 18003 23511 55421 72377 162733 166263 217131 488199 942157 1230409 2766461 2826471 3691227 8299383 25549081 76647243 434334377 1303003131