Search a number
-
+
1103201120 = 25574322907
BaseRepresentation
bin100000111000001…
…1000001101100000
32211212212102102202
41001300120031200
54224404413440
6301245232332
736224024540
oct10160301540
92755772382
101103201120
1151680136a
122695626a8
13147731a38
14a6733320
1566cb9615
hex41c18360

1103201120 has 96 divisors (see below), whose sum is σ = 3048046848. Its totient is φ = 369427968.

The previous prime is 1103201101. The next prime is 1103201129. The reversal of 1103201120 is 211023011.

It is a super-2 number, since 2×11032011202 = 2434105422338508800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103201129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36707 + ... + 59613.

It is an arithmetic number, because the mean of its divisors is an integer number (31750488).

Almost surely, 21103201120 is an apocalyptic number.

1103201120 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 1103201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524023424).

1103201120 is an abundant number, since it is smaller than the sum of its proper divisors (1944845728).

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

1103201120 is a wasteful number, since it uses less digits than its factorization.

1103201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22972 (or 22964 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1103201120 is about 33214.4715447950. The cubic root of 1103201120 is about 1033.2804949280.

Adding to 1103201120 its reverse (211023011), we get a palindrome (1314224131).

The spelling of 1103201120 in words is "one billion, one hundred three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 344 430 560 602 688 860 1120 1204 1376 1505 1720 2408 3010 3440 4816 6020 6880 9632 12040 22907 24080 45814 48160 91628 114535 160349 183256 229070 320698 366512 458140 641396 733024 801745 916280 985001 1282792 1603490 1832560 1970002 2565584 3206980 3665120 3940004 4925005 5131168 6413960 6895007 7880008 9850010 12827920 13790014 15760016 19700020 25655840 27580028 31520032 34475035 39400040 55160056 68950070 78800080 110320112 137900140 157600160 220640224 275800280 551600560 1103201120