Search a number
-
+
1103321310 = 2357133113037
BaseRepresentation
bin100000111000011…
…0101100011011110
32211220002112022020
41001300311203132
54224422240220
6301252001010
736225035130
oct10160654336
92756075266
101103321310
115168836a3
12269600166
13147774660
14a6765050
1566ce0040
hex41c358de

1103321310 has 128 divisors (see below), whose sum is σ = 3364429824. Its totient is φ = 225262080.

The previous prime is 1103321281. The next prime is 1103321311. The reversal of 1103321310 is 131233011.

It is a super-2 number, since 2×11033213102 = 2434635826200232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1103321310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103321311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78112 + ... + 91148.

It is an arithmetic number, because the mean of its divisors is an integer number (26284608).

Almost surely, 21103321310 is an apocalyptic number.

1103321310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103321310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682214912).

1103321310 is an abundant number, since it is smaller than the sum of its proper divisors (2261108514).

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

1103321310 is a wasteful number, since it uses less digits than its factorization.

1103321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13098.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1103321310 is about 33216.2807972235. The cubic root of 1103321310 is about 1033.3180176941.

Adding to 1103321310 its reverse (131233011), we get a palindrome (1234554321).

The spelling of 1103321310 in words is "one billion, one hundred three million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 1085 1209 1302 1365 2015 2170 2418 2730 2821 3255 4030 5642 6045 6510 8463 12090 13037 14105 16926 26074 28210 39111 42315 65185 78222 84630 91259 130370 169481 182518 195555 273777 338962 391110 404147 456295 508443 547554 808294 847405 912590 1016886 1186367 1212441 1368885 1694810 2020735 2372734 2424882 2542215 2737770 2829029 3559101 4041470 5084430 5253911 5658058 5931835 6062205 7118202 8487087 10507822 11863670 12124410 14145145 15761733 16974174 17795505 26269555 28290290 31523466 35591010 36777377 42435435 52539110 73554754 78808665 84870870 110332131 157617330 183886885 220664262 367773770 551660655 1103321310