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20307020013 = 3271719253991
BaseRepresentation
bin10010111010011001…
…001000100011101101
31221102020020111112100
4102322121020203231
5313042044120023
613155013525313
71316140551660
oct227231104355
957366214470
1020307020013
118680868775
123b28943839
131bb8192a97
14da8da56d7
157dcbb4c43
hex4ba6488ed

20307020013 has 144 divisors (see below), whose sum is σ = 38206411776. Its totient is φ = 10141148160.

The previous prime is 20307019969. The next prime is 20307020039. The reversal of 20307020013 is 31002070302.

It is not a de Polignac number, because 20307020013 - 210 = 20307018989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20307022013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20490948 + ... + 20491938.

It is an arithmetic number, because the mean of its divisors is an integer number (265322304).

Almost surely, 220307020013 is an apocalyptic number.

It is an amenable number.

20307020013 is a deficient number, since it is larger than the sum of its proper divisors (17899391763).

20307020013 is a wasteful number, since it uses less digits than its factorization.

20307020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 20307020013 its reverse (31002070302), we get a palindrome (51309090315).

The spelling of 20307020013 in words is "twenty billion, three hundred seven million, twenty thousand, thirteen".

Divisors: 1 3 7 9 17 19 21 51 53 57 63 119 133 153 159 171 323 357 361 371 399 477 901 969 991 1007 1071 1083 1113 1197 2261 2527 2703 2907 2973 3021 3249 3339 6137 6307 6783 6937 7049 7581 8109 8919 9063 16847 17119 18411 18829 18921 19133 20349 20811 21147 22743 42959 50541 51357 52523 55233 56487 56763 57399 62433 63441 117929 119833 128877 131803 133931 151623 154071 157569 169461 172197 320093 325261 353787 357751 359499 367661 386631 395409 401793 472707 892891 960279 975783 997937 1061361 1073253 1078497 1102983 1186227 1205379 2240651 2276827 2504257 2678673 2880837 2927349 2993811 3219759 3308949 6081767 6250237 6721953 6830481 6985559 7512771 8036019 8981433 16964929 18245301 18750711 18960803 20165859 20491443 20956677 22538313 42572369 50894787 54735903 56252133 56882409 62870031 118754503 127717107 132725621 152684361 170647227 322333651 356263509 383151321 398176863 967000953 1068790527 1194530589 2256335557 2901002859 6769006671 20307020013