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13105207316102 = 21117216757721391
BaseRepresentation
bin1011111010110100101100…
…1110100000111010000110
31201101211211102121221022112
42332231023032200322012
53204203431033103402
643512241002301022
72521551153132446
oct276551316407206
951354742557275
1013105207316102
1141a2983972520
121577a634b7772
13740a7b272a95
1433441c8b2126
1517ad6ab29e52
hexbeb4b3a0e86

13105207316102 has 96 divisors (see below), whose sum is σ = 22957753383936. Its totient is φ = 5563015372800.

The previous prime is 13105207316087. The next prime is 13105207316107. The reversal of 13105207316102 is 20161370250131.

It is a super-2 number, since 2×131052073161022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105207316107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612639827 + ... + 612661217.

It is an arithmetic number, because the mean of its divisors is an integer number (239143264416).

Almost surely, 213105207316102 is an apocalyptic number.

13105207316102 is a deficient number, since it is larger than the sum of its proper divisors (9852546067834).

13105207316102 is a wasteful number, since it uses less digits than its factorization.

13105207316102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22182 (or 22165 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

Adding to 13105207316102 its reverse (20161370250131), we get a palindrome (33266577566233).

The spelling of 13105207316102 in words is "thirteen trillion, one hundred five billion, two hundred seven million, three hundred sixteen thousand, one hundred two".

Divisors: 1 2 11 17 22 34 167 187 289 334 374 577 578 1154 1837 2839 3179 3674 5678 6347 6358 9809 12694 19618 21391 31229 42782 48263 62458 96359 96526 107899 166753 192718 215798 235301 333506 363647 470602 530893 727294 1059949 1061786 1638103 1834283 2119898 3276206 3572297 3668566 4000117 6181999 7144594 8000234 12342607 12363998 18019133 24685214 27847751 36038266 39295267 55695502 60729049 68001989 78590534 121458098 135768677 136003978 209824319 271537354 306325261 419648638 612650522 668019539 1032393833 1336039078 2061215369 2064787666 2308067509 3567013423 4122430738 4616135018 7134026846 11356332163 22673369059 22712664326 35040661273 39237147653 45346738118 70081322546 78474295306 385447274003 595691241641 770894548006 1191382483282 6552603658051 13105207316102