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1130311220 = 225541710433
BaseRepresentation
bin100001101011111…
…0010111000110100
32220202212202111112
41003113302320310
54303324424340
6304054254152
740003325663
oct10327627064
92822782445
101130311220
11530038605
12276657358
1315023450c
14aa18cdda
1569372065
hex435f2e34

1130311220 has 24 divisors (see below), whose sum is σ = 2374319304. Its totient is φ = 451997696.

The previous prime is 1130311219. The next prime is 1130311229. The reversal of 1130311220 is 221130311.

It can be written as a sum of positive squares in 4 ways, for example, as 24482704 + 1105828516 = 4948^2 + 33254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1130311195 and 1130311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130311229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103124 + ... + 113556.

It is an arithmetic number, because the mean of its divisors is an integer number (98929971).

Almost surely, 21130311220 is an apocalyptic number.

1130311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130311220 is an abundant number, since it is smaller than the sum of its proper divisors (1244008084).

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

1130311220 is a wasteful number, since it uses less digits than its factorization.

1130311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15859 (or 15857 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1130311220 is about 33620.1014275686. The cubic root of 1130311220 is about 1041.6760511439.

Adding to 1130311220 its reverse (221130311), we get a palindrome (1351441531).

The spelling of 1130311220 in words is "one billion, one hundred thirty million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5417 10433 10834 20866 21668 27085 41732 52165 54170 104330 108340 208660 56515561 113031122 226062244 282577805 565155610 1130311220