Search a number
-
+
1103132220 = 2235671372003
BaseRepresentation
bin100000111000000…
…0111011000111100
32211212201220220220
41001300013120330
54224400212340
6301243541340
736223316631
oct10160073074
92755656826
101103132220
11516764623
1226952a850
13147709578
14a6716188
1566ca3ed0
hex41c0763c

1103132220 has 96 divisors (see below), whose sum is σ = 3159330048. Its totient is φ = 287519232.

The previous prime is 1103132213. The next prime is 1103132231. The reversal of 1103132220 is 222313011.

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 1103132220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549739 + ... + 551741.

It is an arithmetic number, because the mean of its divisors is an integer number (32909688).

Almost surely, 21103132220 is an apocalyptic number.

1103132220 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 1103132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579665024).

1103132220 is an abundant number, since it is smaller than the sum of its proper divisors (2056197828).

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

1103132220 is a wasteful number, since it uses less digits than its factorization.

1103132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1103132220 is about 33213.4343301020. The cubic root of 1103132220 is about 1033.2589834354.

Adding to 1103132220 its reverse (222313011), we get a palindrome (1325445231).

The spelling of 1103132220 in words is "one billion, one hundred three million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 137 201 268 274 335 402 411 548 670 685 804 822 1005 1340 1370 1644 2003 2010 2055 2740 4006 4020 4110 6009 8012 8220 9179 10015 12018 18358 20030 24036 27537 30045 36716 40060 45895 55074 60090 91790 110148 120180 134201 137685 183580 268402 274411 275370 402603 536804 548822 550740 671005 805206 823233 1097644 1342010 1372055 1610412 1646466 2013015 2684020 2744110 3292932 4026030 4116165 5488220 8052060 8232330 16464660 18385537 36771074 55156611 73542148 91927685 110313222 183855370 220626444 275783055 367710740 551566110 1103132220