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12148765817130 = 2325336144638999
BaseRepresentation
bin1011000011001001101011…
…0111101111100100101010
31121000102002101012122001100
42300302122313233210222
53043021133022122010
641501022125502230
72362501512415665
oct260623267574452
947012071178040
1012148765817130
11396429864a108
121442619111976
136a1815369a07
143000094a26dc
1516103d4b12c0
hexb0c9adef92a

12148765817130 has 96 divisors (see below), whose sum is σ = 31606780608000. Its totient is φ = 3237621488640.

The previous prime is 12148765817099. The next prime is 12148765817233. The reversal of 12148765817130 is 3171856784121.

It is a happy number.

12148765817130 is a `hidden beast` number, since 1 + 2 + 1 + 48 + 7 + 6 + 581 + 7 + 13 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350008371 + ... + 1350017369.

It is an arithmetic number, because the mean of its divisors is an integer number (329237298000).

Almost surely, 212148765817130 is an apocalyptic number.

12148765817130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12148765817130 is an abundant number, since it is smaller than the sum of its proper divisors (19458014790870).

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

12148765817130 is a wasteful number, since it uses less digits than its factorization.

12148765817130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16836 (or 16833 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 12148765817130 in words is "twelve trillion, one hundred forty-eight billion, seven hundred sixty-five million, eight hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3361 4463 6722 8926 8999 10083 13389 16805 17998 20166 22315 26778 26997 30249 33610 40167 44630 44995 50415 53994 60498 66945 80334 80991 89990 100830 133890 134985 151245 161982 200835 269970 302490 401670 404955 809910 15000143 30000286 30245639 40162537 45000429 60491278 75000715 80325074 90000858 90736917 120487611 135001287 150001430 151228195 181473834 200812685 225002145 240975222 270002574 272210751 302456390 361462833 401625370 450004290 453684585 544421502 602438055 675006435 722925666 907369170 1204876110 1350012870 1361053755 1807314165 2722107510 3614628330 134986286857 269972573714 404958860571 674931434285 809917721142 1214876581713 1349862868570 2024794302855 2429753163426 4049588605710 6074382908565 12148765817130