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11100303131104 = 2511179239200779
BaseRepresentation
bin1010000110000111110110…
…1000000000000111100000
31110022011211012200200021001
42201201331220000013200
52423331410100143404
635335224151441344
72223653600552065
oct241417550000740
943264735620231
1011100303131104
11359a680807990
1212b3391086254
136269a59897c5
142a5386982c6c
15143b273207a4
hexa187da001e0

11100303131104 has 96 divisors (see below), whose sum is σ = 25245659577600. Its totient is φ = 4748255139840.

The previous prime is 11100303131063. The next prime is 11100303131111. The reversal of 11100303131104 is 40113130300111.

It is a happy number.

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, 55185787 + ... + 55386565.

It is an arithmetic number, because the mean of its divisors is an integer number (262975620600).

Almost surely, 211100303131104 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 11100303131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12622829788800).

11100303131104 is an abundant number, since it is smaller than the sum of its proper divisors (14145356446496).

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

11100303131104 is a wasteful number, since it uses less digits than its factorization.

11100303131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210056 (or 210048 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11100303131104 its reverse (40113130300111), we get a palindrome (51213433431215).

The spelling of 11100303131104 in words is "eleven trillion, one hundred billion, three hundred three million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 9239 18478 36956 73912 101629 147824 157063 200779 203258 295648 314126 401558 406516 628252 803116 813032 1256504 1606232 1626064 1727693 2208569 2513008 3212464 3252128 3413243 3455386 4417138 5026016 6424928 6826486 6910772 8834276 13652972 13821544 17668552 27305944 27643088 35337104 37545673 54611888 55286176 70674208 75091346 109223776 150182692 300365384 600730768 1201461536 1854997181 3709994362 7419988724 14839977448 20404968991 29679954896 31534952077 40809937982 59359909792 63069904154 81619875964 126139808308 163239751928 252279616616 326479503856 346884472847 504559233232 652959007712 693768945694 1009118466464 1387537891388 2775075782776 5550151565552 11100303131104