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13224130160 = 2454122717761
BaseRepresentation
bin11000101000011100…
…00011011001110000
31021010121112102020112
430110032003121300
5204040334131120
610024115000452
7645464152223
oct142416033160
937117472215
1013224130160
11567674979a
122690899128
1313299572b7
148d642d5ba
15525e75bc5
hex314383670

13224130160 has 80 divisors (see below), whose sum is σ = 31636537632. Its totient is φ = 5137612800.

The previous prime is 13224130111. The next prime is 13224130193. The reversal of 13224130160 is 6103142231.

It is a tau number, because it is divible by the number of its divisors (80).

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, 735680 + ... + 753440.

Almost surely, 213224130160 is an apocalyptic number.

13224130160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818268816).

13224130160 is an abundant number, since it is smaller than the sum of its proper divisors (18412407472).

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

13224130160 is a wasteful number, since it uses less digits than its factorization.

13224130160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18042 (or 18036 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13224130160 its reverse (6103142231), we get a palindrome (19327272391).

The spelling of 13224130160 in words is "thirteen billion, two hundred twenty-four million, one hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 227 328 410 454 656 820 908 1135 1640 1816 2270 3280 3632 4540 9080 9307 17761 18160 18614 35522 37228 46535 71044 74456 88805 93070 142088 148912 177610 186140 284176 355220 372280 710440 728201 744560 1420880 1456402 2912804 3641005 4031747 5825608 7282010 8063494 11651216 14564020 16126988 20158735 29128040 32253976 40317470 58256080 64507952 80634940 161269880 165301627 322539760 330603254 661206508 826508135 1322413016 1653016270 2644826032 3306032540 6612065080 13224130160