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13454120112 = 2432315597817
BaseRepresentation
bin11001000011110110…
…11001010010110000
31021201122022010010220
430201323121102300
5210023223320422
610103012253040
7654256063656
oct144173312260
937648263126
1013454120112
115784555634
122735911180
1313654b1b24
14918bbadd6
1553b255e5c
hex321ed94b0

13454120112 has 80 divisors (see below), whose sum is σ = 36295534080. Its totient is φ = 4286419456.

The previous prime is 13454120107. The next prime is 13454120123. The reversal of 13454120112 is 21102145431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1717228 + ... + 1725044.

It is an arithmetic number, because the mean of its divisors is an integer number (453694176).

Almost surely, 213454120112 is an apocalyptic number.

13454120112 is a gapful number since it is divisible by the number (12) 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 13454120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147767040).

13454120112 is an abundant number, since it is smaller than the sum of its proper divisors (22841413968).

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

13454120112 is a wasteful number, since it uses less digits than its factorization.

13454120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13454120112 its reverse (21102145431), we get a palindrome (34556265543).

The spelling of 13454120112 in words is "thirteen billion, four hundred fifty-four million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1559 3118 4677 6236 7817 9354 12472 15634 18708 23451 24944 31268 35857 37416 46902 62536 71714 74832 93804 107571 125072 143428 179791 187608 215142 286856 359582 375216 430284 539373 573712 719164 860568 1078746 1438328 1721136 2157492 2876656 4314984 8629968 12186703 24373406 36560109 48746812 73120218 97493624 146240436 194987248 280294169 292480872 560588338 584961744 840882507 1121176676 1681765014 2242353352 3363530028 4484706704 6727060056 13454120112