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102334134112 = 2574367158573
BaseRepresentation
bin101111101001110010…
…1101111011101100000
3100210010211201122022021
41133103211233131200
53134040014242422
6115002303351224
710251635534140
oct1372345573540
9323124648267
10102334134112
113a443a50661
12179bb5b2514
13985b2764a2
144d4b056920
1529de0eedc7
hex17d396f760

102334134112 has 96 divisors (see below), whose sum is σ = 239124517632. Its totient is φ = 42197912064.

The previous prime is 102334134073. The next prime is 102334134127. The reversal of 102334134112 is 211431433201.

102334134112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 566058 + ... + 724630.

It is an arithmetic number, because the mean of its divisors is an integer number (2490880392).

Almost surely, 2102334134112 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 102334134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119562258816).

102334134112 is an abundant number, since it is smaller than the sum of its proper divisors (136790383520).

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

102334134112 is a wasteful number, since it uses less digits than its factorization.

102334134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158700 (or 158692 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 102334134112 its reverse (211431433201), we get a palindrome (313765567313).

The spelling of 102334134112 in words is "one hundred two billion, three hundred thirty-four million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 67 86 112 134 172 224 268 301 344 469 536 602 688 938 1072 1204 1376 1876 2144 2408 2881 3752 4816 5762 7504 9632 11524 15008 20167 23048 40334 46096 80668 92192 158573 161336 317146 322672 634292 645344 1110011 1268584 2220022 2537168 4440044 5074336 6818639 8880088 10624391 13637278 17760176 21248782 27274556 35520352 42497564 47730473 54549112 74370737 84995128 95460946 109098224 148741474 169990256 190921892 218196448 297482948 339980512 381843784 456848813 594965896 763687568 913697626 1189931792 1527375136 1827395252 2379863584 3197941691 3654790504 6395883382 7309581008 12791766764 14619162016 25583533528 51167067056 102334134112