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13023322323102 = 2337133246781629
BaseRepresentation
bin1011110110000011101010…
…0000000011100010011110
31201010000110201120022001000
42331200322200003202132
53201333231003314402
643410455350531130
72512622032153440
oct275407240034236
951100421508030
1013023322323102
114171183a30293
121564010366aa6
1373612b75ccc0
14330491658490
15178b76e14c1c
hexbd83a80389e

13023322323102 has 128 divisors (see below), whose sum is σ = 35620876569600. Its totient is φ = 3434574503808.

The previous prime is 13023322323091. The next prime is 13023322323131. The reversal of 13023322323102 is 20132322332031.

13023322323102 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 322 + 323 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159502024 + ... + 159583652.

It is an arithmetic number, because the mean of its divisors is an integer number (278288098200).

Almost surely, 213023322323102 is an apocalyptic number.

13023322323102 is an abundant number, since it is smaller than the sum of its proper divisors (22597554246498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13023322323102 is a wasteful number, since it uses less digits than its factorization.

13023322323102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114127 (or 114121 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13023322323102 its reverse (20132322332031), we get a palindrome (33155644655133).

The spelling of 13023322323102 in words is "thirteen trillion, twenty-three billion, three hundred twenty-two million, three hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 32467 64934 81629 97401 163258 194802 227269 244887 292203 422071 454538 489774 571403 584406 681807 734661 844142 876609 1061177 1142806 1266213 1363614 1469322 1714209 1753218 2045421 2122354 2203983 2532426 2954497 3183531 3428418 3798639 4090842 4407966 5142627 5908994 6136263 6367062 7428239 7597278 8863491 9550593 10285254 11395917 12272526 14856478 15427881 17726982 19101186 22284717 22791834 26590473 28651779 30855762 44569434 53180946 57303558 66854151 79771419 133708302 159542838 200562453 401124906 2650248743 5300497486 7950746229 15901492458 18551741201 23852238687 34453233659 37103482402 47704477374 55655223603 68906467318 71556716061 103359700977 111310447206 143113432122 166965670809 206719401954 241172635613 310079102931 333931341618 482345271226 500897012427 620158205862 723517906839 930237308793 1001794024854 1447035813678 1860474617586 2170553720517 4341107441034 6511661161551 13023322323102