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13022301100104 = 2334103230984499
BaseRepresentation
bin1011110101111111110110…
…1000011001100001001000
31201002220211112221210110000
42331133331220121201020
53201324133040200404
643410210150323000
72512554522001062
oct275377550314110
951086745853400
1013022301100104
1141707aa53133a
121563986359460
13735cc8001b3a
143303d5b84732
15178b17440339
hexbd7fda19848

13022301100104 has 160 divisors (see below), whose sum is σ = 36845008200000. Its totient is φ = 4296711132288.

The previous prime is 13022301100087. The next prime is 13022301100117. The reversal of 13022301100104 is 40100110322031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154069647 + ... + 154154145.

It is an arithmetic number, because the mean of its divisors is an integer number (230281301250).

Almost surely, 213022301100104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022301100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18422504100000).

13022301100104 is an abundant number, since it is smaller than the sum of its proper divisors (23822707099896).

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

13022301100104 is a wasteful number, since it uses less digits than its factorization.

13022301100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86929 (or 86916 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13022301100104 its reverse (40100110322031), we get a palindrome (53122411422135).

The spelling of 13022301100104 in words is "thirteen trillion, twenty-two billion, three hundred one million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1854 2309 2472 2781 3708 4618 5562 6927 7416 8343 9236 11124 13854 16686 18472 20781 22248 27708 33372 41562 55416 62343 66744 83124 84499 124686 166248 168998 187029 237827 249372 253497 337996 374058 475654 498744 506994 675992 713481 748116 760491 951308 1013988 1426962 1496232 1520982 1902616 2027976 2140443 2281473 2853924 3041964 4280886 4562946 5707848 6083928 6421329 6844419 8561772 8703397 9125892 12842658 13688838 17123544 17406794 18251784 19263987 25685316 26110191 27377676 34813588 38527974 51370632 52220382 54755352 69627176 77055948 78330573 104440764 154111896 156661146 195108191 208881528 234991719 313322292 390216382 469983438 585324573 626644584 704975157 780432764 939966876 1170649146 1409950314 1560865528 1755973719 1879933752 2341298292 2819900628 3511947438 4682596584 5267921157 5639801256 7023894876 10535842314 14047789752 15803763471 20096143673 21071684628 31607526942 40192287346 42143369256 60288431019 63215053884 80384574692 120576862038 126430107768 160769149384 180865293057 241153724076 361730586114 482307448152 542595879171 723461172228 1085191758342 1446922344456 1627787637513 2170383516684 3255575275026 4340767033368 6511150550052 13022301100104