Search a number
-
+
1130220020 = 22556511001
BaseRepresentation
bin100001101011101…
…1100100111110100
32220202201010101202
41003113130213310
54303314020040
6304052312032
740002466046
oct10327344764
92822633352
101130220020
1152aa86036
12276612618
13150201b57
14aa167a96
1569355015
hex435dc9f4

1130220020 has 12 divisors (see below), whose sum is σ = 2373462084. Its totient is φ = 452088000.

The previous prime is 1130220001. The next prime is 1130220029. The reversal of 1130220020 is 200220311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 265624804 + 864595216 = 16298^2 + 29404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1130219983 and 1130220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130220029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28255481 + ... + 28255520.

It is an arithmetic number, because the mean of its divisors is an integer number (197788507).

Almost surely, 21130220020 is an apocalyptic number.

1130220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130220020 is an abundant number, since it is smaller than the sum of its proper divisors (1243242064).

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

1130220020 is a wasteful number, since it uses less digits than its factorization.

1130220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56511010 (or 56511008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1130220020 is about 33618.7450687857. The cubic root of 1130220020 is about 1041.6480342552.

Adding to 1130220020 its reverse (200220311), we get a palindrome (1330440331).

It can be divided in two parts, 11 and 30220020, that multiplied together give a triangular number (332420220 = T25784).

The spelling of 1130220020 in words is "one billion, one hundred thirty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 56511001 113022002 226044004 282555005 565110010 1130220020