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1103312320 = 265113110111
BaseRepresentation
bin100000111000011…
…0011010111000000
32211220002001222021
41001300303113000
54224421443240
6301251451224
736224666665
oct10160632700
92756061867
101103312320
11516877970
122695b6b14
13147770536
14a6761a6c
1566cdc54a
hex41c335c0

1103312320 has 112 divisors (see below), whose sum is σ = 2958852096. Its totient is φ = 388224000.

The previous prime is 1103312297. The next prime is 1103312363. The reversal of 1103312320 is 232133011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1103312294 and 1103312303.

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, 104065 + ... + 114175.

Almost surely, 21103312320 is an apocalyptic number.

1103312320 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 1103312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479426048).

1103312320 is an abundant number, since it is smaller than the sum of its proper divisors (1855539776).

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

1103312320 is a wasteful number, since it uses less digits than its factorization.

1103312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1103312320 is about 33216.1454717431. The cubic root of 1103312320 is about 1033.3152111517.

Adding to 1103312320 its reverse (232133011), we get a palindrome (1335445331).

The spelling of 1103312320 in words is "one billion, one hundred three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 620 682 704 880 992 1240 1364 1705 1760 1984 2480 2728 3410 3520 4960 5456 6820 9920 10111 10912 13640 20222 21824 27280 40444 50555 54560 80888 101110 109120 111221 161776 202220 222442 313441 323552 404440 444884 556105 626882 647104 808880 889768 1112210 1253764 1567205 1617760 1779536 2224420 2507528 3134410 3235520 3447851 3559072 4448840 5015056 6268820 6895702 7118144 8897680 10030112 12537640 13791404 17239255 17795360 20060224 25075280 27582808 34478510 35590720 50150560 55165616 68957020 100301120 110331232 137914040 220662464 275828080 551656160 1103312320