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13003013023 = 7111317311572
BaseRepresentation
bin11000001110000101…
…00011101110011111
31020120012110111112221
430013002203232133
5203112232404043
65550135410211
7640140533650
oct140702435637
936505414487
1013003013023
115572953160
12262a823967
1312c2bb8260
148b4d11527
155118498ed
hex3070a3b9f

13003013023 has 96 divisors (see below), whose sum is σ = 19204190208. Its totient is φ = 8464435200.

The previous prime is 13003013021. The next prime is 13003013053. The reversal of 13003013023 is 32031030031.

It is not a de Polignac number, because 13003013023 - 21 = 13003013021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13003012988 and 13003013006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003013021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82821661 + ... + 82821817.

It is an arithmetic number, because the mean of its divisors is an integer number (200043648).

Almost surely, 213003013023 is an apocalyptic number.

13003013023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13003013023 is a deficient number, since it is larger than the sum of its proper divisors (6201177185).

13003013023 is a wasteful number, since it uses less digits than its factorization.

13003013023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13003013023 its reverse (32031030031), we get a palindrome (45034043054).

The spelling of 13003013023 in words is "thirteen billion, three million, thirteen thousand, twenty-three".

Divisors: 1 7 11 13 17 31 77 91 119 143 157 187 217 221 341 403 527 1001 1099 1309 1547 1727 2041 2387 2431 2669 2821 3689 4433 4867 5797 6851 12089 14287 17017 18683 22451 24649 29359 31031 34069 34697 40579 47957 53537 63271 75361 82739 157157 172543 205513 242879 271139 320437 374759 381667 419033 442897 527527 579173 695981 764119 910129 1075607 1897973 2243059 2671669 2933231 3524807 4609363 4871867 5348833 5447429 6370903 7529249 8405309 9933547 11831677 12990023 24673649 32265541 38132003 58837163 59921719 69534829 82821739 90930161 109269017 142890253 168870299 419452033 764883119 1000231771 1182092093 1857573289 13003013023