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110404311320 = 23589257120671
BaseRepresentation
bin110011011010010011…
…1000001100100011000
3101112222021012010020102
41212310213001210120
53302102000430240
6122415151314532
710655631106442
oct1466447014430
9345867163212
10110404311320
11429053a01a6
121949221ba48
13a5461ba984
1454b4b8b492
152d1285d815
hex19b49c1918

110404311320 has 64 divisors (see below), whose sum is σ = 252180345600. Its totient is φ = 43495260160.

The previous prime is 110404311299. The next prime is 110404311337. The reversal of 110404311320 is 23113404011.

110404311320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1104043113202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110404311292 and 110404311301.

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, 854585 + ... + 975255.

It is an arithmetic number, because the mean of its divisors is an integer number (3940317900).

Almost surely, 2110404311320 is an apocalyptic number.

110404311320 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 110404311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126090172800).

110404311320 is an abundant number, since it is smaller than the sum of its proper divisors (141776034280).

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

110404311320 is a wasteful number, since it uses less digits than its factorization.

110404311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121028 (or 121024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 110404311320 its reverse (23113404011), we get a palindrome (133517715331).

The spelling of 110404311320 in words is "one hundred ten billion, four hundred four million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 257 356 445 514 712 890 1028 1285 1780 2056 2570 3560 5140 10280 22873 45746 91492 114365 120671 182984 228730 241342 457460 482684 603355 914920 965368 1206710 2413420 4826840 10739719 21479438 31012447 42958876 53698595 62024894 85917752 107397190 124049788 155062235 214794380 248099576 310124470 429588760 620248940 1240497880 2760107783 5520215566 11040431132 13800538915 22080862264 27601077830 55202155660 110404311320