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12334321104 = 243756365203
BaseRepresentation
bin10110111110010111…
…01100110111010000
31011211121012102200120
423133023230313100
5200230041233404
65355531150240
7614440666560
oct133713546720
934747172616
1012334321104
11525a448006
1224828a5380
1312174bb371
148501a6da0
154c2cad9d9
hex2df2ecdd0

12334321104 has 80 divisors (see below), whose sum is σ = 36480855552. Its totient is φ = 3517778304.

The previous prime is 12334321057. The next prime is 12334321127. The reversal of 12334321104 is 40112343321.

It is a happy number.

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

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, 156567 + ... + 221769.

Almost surely, 212334321104 is an apocalyptic number.

12334321104 is a gapful number since it is divisible by the number (14) 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 12334321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240427776).

12334321104 is an abundant number, since it is smaller than the sum of its proper divisors (24146534448).

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

12334321104 is a wasteful number, since it uses less digits than its factorization.

12334321104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65784 (or 65778 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12334321104 its reverse (40112343321), we get a palindrome (52446664425).

The spelling of 12334321104 in words is "twelve billion, three hundred thirty-four million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 563 1126 1689 2252 3378 3941 4504 6756 7882 9008 11823 13512 15764 23646 27024 31528 47292 63056 65203 94584 130406 189168 195609 260812 391218 456421 521624 782436 912842 1043248 1369263 1564872 1825684 2738526 3129744 3651368 5477052 7302736 10954104 21908208 36709289 73418578 110127867 146837156 220255734 256965023 293674312 440511468 513930046 587348624 770895069 881022936 1027860092 1541790138 1762045872 2055720184 3083580276 4111440368 6167160552 12334321104