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13112330310112 = 2511611913197231
BaseRepresentation
bin1011111011001111001111…
…0010100101000111100000
31201102112012211210112011111
42332303303302211013200
53204313023024410422
643515415452553104
72522222524443025
oct276636362450740
951375184715144
1013112330310112
1141a59a9693330
121579310a82794
13741644bb0637
143348d68c754c
1517b13613ba77
hexbecf3ca51e0

13112330310112 has 96 divisors (see below), whose sum is σ = 28773246394368. Its totient is φ = 5831747520000.

The previous prime is 13112330310097. The next prime is 13112330310151. The reversal of 13112330310112 is 21101303321131.

It is a super-3 number, since 3×131123303101123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502537 + ... + 5699767.

It is an arithmetic number, because the mean of its divisors is an integer number (299721316608).

Almost surely, 213112330310112 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 13112330310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386623197184).

13112330310112 is an abundant number, since it is smaller than the sum of its proper divisors (15660916084256).

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

13112330310112 is a wasteful number, since it uses less digits than its factorization.

13112330310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197504 (or 3197496 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13112330310112 its reverse (21101303321131), we get a palindrome (34213633631243).

The spelling of 13112330310112 in words is "thirteen trillion, one hundred twelve billion, three hundred thirty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 191 244 352 382 488 671 764 976 1342 1528 1952 2101 2684 3056 4202 5368 6112 8404 10736 11651 16808 21472 23302 33616 46604 67232 93208 128161 186416 256322 372832 512644 1025288 2050576 3197231 4101152 6394462 12788924 25577848 35169541 51155696 70339082 102311392 140678164 195031091 281356328 390062182 562712656 610671121 780124364 1125425312 1221342242 1560248728 2145342001 2442684484 3120497456 4290684002 4885368968 6240994912 6717382331 8581368004 9770737936 13434764662 17162736008 19541475872 26869529324 34325472016 37250938381 53739058648 68650944032 74501876762 107478117296 149003753524 214956234592 298007507048 409760322191 596015014096 819520644382 1192030028192 1639041288764 3278082577528 6556165155056 13112330310112