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1002443013 = 331121323603
BaseRepresentation
bin111011110000000…
…001000100000101
32120212021101022000
4323300001010011
54023111134023
6243245455513
733561424245
oct7360010405
92525241260
101002443013
11474942300
1223b871599
1312c8b4160
14971c5b25
155d015243
hex3bc01105

1002443013 has 48 divisors (see below), whose sum is σ = 1758025920. Its totient is φ = 560783520.

The previous prime is 1002443011. The next prime is 1002443027. The reversal of 1002443013 is 3103442001.

It is not a de Polignac number, because 1002443013 - 21 = 1002443011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002443011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30670 + ... + 54272.

It is an arithmetic number, because the mean of its divisors is an integer number (36625540).

Almost surely, 21002443013 is an apocalyptic number.

1002443013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002443013 is a deficient number, since it is larger than the sum of its proper divisors (755582907).

1002443013 is a wasteful number, since it uses less digits than its factorization.

1002443013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23647 (or 23630 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002443013 is about 31661.3804657978. The cubic root of 1002443013 is about 1000.8136754194.

Adding to 1002443013 its reverse (3103442001), we get a palindrome (4105885014).

The spelling of 1002443013 in words is "one billion, two million, four hundred forty-three thousand, thirteen".

Divisors: 1 3 9 11 13 27 33 39 99 117 121 143 297 351 363 429 1089 1287 1573 3267 3861 4719 14157 23603 42471 70809 212427 259633 306839 637281 778899 920517 2336697 2761551 2855963 3375229 7010091 8284653 8567889 10125687 25703667 30377061 37127519 77111001 91131183 111382557 334147671 1002443013