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11000030312313 = 32723715118612399
BaseRepresentation
bin1010000000010010010011…
…1001100011011101111001
31102221121000000200200222200
42200010210321203131321
52420211030224443223
635221202201140413
72213504001632400
oct240044471433571
942847000620880
1011000030312313
1135610a5383009
121297a67a8a709
1361a3b57a8233
142a05935c6637
15141209195a43
hexa0124e63779

11000030312313 has 144 divisors (see below), whose sum is σ = 19126535500800. Its totient is φ = 6069549024000.

The previous prime is 11000030312309. The next prime is 11000030312347. The reversal of 11000030312313 is 31321303000011.

It is a happy number.

11000030312313 is a `hidden beast` number, since 1 + 10 + 0 + 0 + 0 + 30 + 312 + 313 = 666.

It is not a de Polignac number, because 11000030312313 - 22 = 11000030312309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11000030312113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4585255288 + ... + 4585257686.

It is an arithmetic number, because the mean of its divisors is an integer number (132823163200).

Almost surely, 211000030312313 is an apocalyptic number.

It is an amenable number.

11000030312313 is a deficient number, since it is larger than the sum of its proper divisors (8126505188487).

11000030312313 is a wasteful number, since it uses less digits than its factorization.

11000030312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11000030312313 its reverse (31321303000011), we get a palindrome (42321333312324).

The spelling of 11000030312313 in words is "eleven trillion, thirty million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 37 49 63 111 147 151 259 333 441 453 777 1057 1359 1813 1861 2331 2399 3171 5439 5583 5587 7197 7399 9513 13027 16317 16749 16761 16793 21591 22197 39081 39109 50283 50379 66591 68857 88763 91189 117243 117327 117551 151137 206571 266289 273567 273763 281011 351981 352653 362249 481999 619713 621341 798867 820701 821289 843033 1057959 1086747 1445997 1864023 1967077 2463867 2529099 2535743 3260241 3373993 4337991 4349387 4464539 5592069 5901231 7607229 10121979 10397407 13048161 13393617 13403213 13769539 17703693 17750201 22821687 30365937 31192221 31251773 39144483 40180851 40209639 41308617 53250603 72781849 93576663 93755319 93822491 120628917 123925851 159751809 165187943 218345547 218762411 281265957 281467473 495563829 509472943 655036641 656287233 656757437 674145389 844402419 1156315601 1486691487 1528418829 1968861699 1970272311 2022436167 3468946803 4585256487 4719017723 5910816933 6067308501 8094209207 10406840409 14157053169 24282627621 24943379393 33033124061 42471159507 72847882863 74830138179 99099372183 174603655751 224490414537 297298116549 523810967253 1222225590257 1571432901759 3666676770771 11000030312313