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1103310320 = 245773137197
BaseRepresentation
bin100000111000011…
…0010110111110000
32211220001222020012
41001300302313300
54224421412240
6301251434052
736224661110
oct10160626760
92756058205
101103310320
11516876412
122695b5928
1314776c658
14a6761040
1566cdbb65
hex41c32df0

1103310320 has 160 divisors (see below), whose sum is σ = 3008700288. Its totient is φ = 368492544.

The previous prime is 1103310293. The next prime is 1103310323. The reversal of 1103310320 is 230133011.

1103310320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1103310295 and 1103310304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103310323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5600462 + ... + 5600658.

Almost surely, 21103310320 is an apocalyptic number.

1103310320 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 1103310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504350144).

1103310320 is an abundant number, since it is smaller than the sum of its proper divisors (1905389968).

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

1103310320 is a wasteful number, since it uses less digits than its factorization.

1103310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1103310320 is about 33216.1153658883. The cubic root of 1103310320 is about 1033.3145867798.

Adding to 1103310320 its reverse (230133011), we get a palindrome (1333443331).

The spelling of 1103310320 in words is "one billion, one hundred three million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 137 140 146 197 274 280 292 365 394 511 548 560 584 685 730 788 959 985 1022 1096 1168 1370 1379 1460 1576 1918 1970 2044 2192 2555 2740 2758 2920 3152 3836 3940 4088 4795 5110 5480 5516 5840 6895 7672 7880 8176 9590 10001 10220 10960 11032 13790 14381 15344 15760 19180 20002 20440 22064 26989 27580 28762 38360 40004 40880 50005 53978 55160 57524 70007 71905 76720 80008 100010 100667 107956 110320 115048 134945 140014 143810 160016 188923 200020 201334 215912 230096 269890 280028 287620 350035 377846 400040 402668 431824 503335 539780 560056 575240 700070 755692 800080 805336 944615 1006670 1079560 1120112 1150480 1400140 1511384 1610672 1889230 1970197 2013340 2159120 2800280 3022768 3778460 3940394 4026680 5600560 7556920 7880788 8053360 9850985 13791379 15113840 15761576 19701970 27582758 31523152 39403940 55165516 68956895 78807880 110331032 137913790 157615760 220662064 275827580 551655160 1103310320