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1103012220 = 223579972399
BaseRepresentation
bin100000110111110…
…1010000101111100
32211212111211022110
41001233222011330
54224332342340
6301241214020
736222310032
oct10157520574
92755454273
101103012220
11516692452
12269491310
13147696a6b
14a66c4552
1566c7d680
hex41bea17c

1103012220 has 96 divisors (see below), whose sum is σ = 3161088000. Its totient is φ = 287299584.

The previous prime is 1103012201. The next prime is 1103012231. The reversal of 1103012220 is 222103011.

1103012220 is digitally balanced in base 4, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1103012196 and 1103012205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458581 + ... + 460979.

It is an arithmetic number, because the mean of its divisors is an integer number (32928000).

Almost surely, 21103012220 is an apocalyptic number.

1103012220 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 1103012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580544000).

1103012220 is an abundant number, since it is smaller than the sum of its proper divisors (2058075780).

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

1103012220 is a wasteful number, since it uses less digits than its factorization.

1103012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1103012220 is about 33211.6277830521. The cubic root of 1103012220 is about 1033.2215157073.

Adding to 1103012220 its reverse (222103011), we get a palindrome (1325115231).

The spelling of 1103012220 in words is "one billion, one hundred three million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 97 158 194 237 291 316 388 395 474 485 582 790 948 970 1164 1185 1455 1580 1940 2370 2399 2910 4740 4798 5820 7197 7663 9596 11995 14394 15326 22989 23990 28788 30652 35985 38315 45978 47980 71970 76630 91956 114945 143940 153260 189521 229890 232703 379042 459780 465406 568563 698109 758084 930812 947605 1137126 1163515 1396218 1895210 2274252 2327030 2792436 2842815 3490545 3790420 4654060 5685630 6981090 11371260 13962180 18383537 36767074 55150611 73534148 91917685 110301222 183835370 220602444 275753055 367670740 551506110 1103012220