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13300010203311 = 351348764113487
BaseRepresentation
bin1100000110001010011001…
…1000100011100010101111
31202002110122120121221100000
43001202212120203202233
53220401410103001221
644141535040235343
72541615436301226
oct301424630434257
952073576557300
1013300010203311
114268559035987
1215a976a60bb53
1375625494a290
1433da1c661cbd
15180e6cbade26
hexc18a66238af

13300010203311 has 96 divisors (see below), whose sum is σ = 21534352939008. Its totient is φ = 8154468495360.

The previous prime is 13300010203303. The next prime is 13300010203349. The reversal of 13300010203311 is 11330201000331.

It is a happy number.

13300010203311 is a `hidden beast` number, since 1 + 3 + 300 + 0 + 10 + 20 + 331 + 1 = 666.

It is not a de Polignac number, because 13300010203311 - 23 = 13300010203303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300010203351) 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, 986128810 + ... + 986142296.

It is an arithmetic number, because the mean of its divisors is an integer number (224316176448).

Almost surely, 213300010203311 is an apocalyptic number.

13300010203311 is a deficient number, since it is larger than the sum of its proper divisors (8234342735697).

13300010203311 is a wasteful number, since it uses less digits than its factorization.

13300010203311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14631 counting only the distinct ones).

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

Adding to 13300010203311 its reverse (11330201000331), we get a palindrome (24630211203642).

The spelling of 13300010203311 in words is "thirteen trillion, three hundred billion, ten million, two hundred three thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 81 117 243 351 487 641 1053 1461 1923 3159 4383 5769 6331 8333 13149 13487 17307 18993 24999 39447 40461 51921 56979 74997 118341 121383 155763 170937 175331 224991 312167 364149 512811 525993 674973 936501 1092447 1538433 1577979 2024919 2809503 3277341 4058171 4733937 6568169 8428509 8645167 12174513 14201811 19704507 25285527 25935501 36523539 42605433 59113521 75856581 77806503 85386197 109570617 112387171 177340563 233419509 256158591 328711851 337161513 532021689 700258527 768475773 986135553 1011484539 1596065067 2100775581 2305427319 3034453617 4210196329 6916281957 9103360851 12630588987 20748845871 27310082553 37891766961 54732552277 113675300883 164197656831 341025902649 492592970493 1023077707947 1477778911479 4433336734437 13300010203311