Search a number
-
+
1120313312 = 25611394129
BaseRepresentation
bin100001011000110…
…1001111111100000
32220002001210221122
41002301221333200
54243300011222
6303100111412
736522335366
oct10261517740
92802053848
101120313312
11525429a78
12273235568
1314b1438b1
14a8b09636
1568549a42
hex42c69fe0

1120313312 has 48 divisors (see below), whose sum is σ = 2258449200. Its totient is φ = 546877440.

The previous prime is 1120313287. The next prime is 1120313317. The reversal of 1120313312 is 2133130211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120313317) 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, 269264 + ... + 273392.

It is an arithmetic number, because the mean of its divisors is an integer number (47051025).

Almost surely, 21120313312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129224600).

1120313312 is an abundant number, since it is smaller than the sum of its proper divisors (1138135888).

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

1120313312 is a wasteful number, since it uses less digits than its factorization.

1120313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1120313312 is about 33471.0817273658. The cubic root of 1120313312 is about 1038.5956488841.

Adding to 1120313312 its reverse (2133130211), we get a palindrome (3253443523).

It can be divided in two parts, 1120 and 313312, that added together give a cube (314432 = 683).

The spelling of 1120313312 in words is "one billion, one hundred twenty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 139 244 278 488 556 976 1112 1952 2224 4129 4448 8258 8479 16516 16958 33032 33916 66064 67832 132128 135664 251869 271328 503738 573931 1007476 1147862 2014952 2295724 4029904 4591448 8059808 9182896 18365792 35009791 70019582 140039164 280078328 560156656 1120313312