Search a number
-
+
1120313112 = 2331910722961
BaseRepresentation
bin100001011000110…
…1001111100011000
32220002001210200020
41002301221330120
54243300004422
6303100110440
736522334662
oct10261517430
92802053606
101120313112
11525429906
12273235420
1314b143789
14a8b09532
156854995c
hex42c69f18

1120313112 has 64 divisors (see below), whose sum is σ = 2975875200. Its totient is φ = 350461440.

The previous prime is 1120313059. The next prime is 1120313119. The reversal of 1120313112 is 2113130211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120313091 and 1120313100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120313119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37312 + ... + 60272.

It is an arithmetic number, because the mean of its divisors is an integer number (46498050).

Almost surely, 21120313112 is an apocalyptic number.

1120313112 is a gapful number since it is divisible by the number (12) 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 1120313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487937600).

1120313112 is an abundant number, since it is smaller than the sum of its proper divisors (1855562088).

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

1120313112 is a wasteful number, since it uses less digits than its factorization.

1120313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23096 (or 23092 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1120313112 is about 33471.0787397120. The cubic root of 1120313112 is about 1038.5955870803.

Adding to 1120313112 its reverse (2113130211), we get a palindrome (3233443323).

The spelling of 1120313112 in words is "one billion, one hundred twenty million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 642 856 1284 2033 2568 4066 6099 8132 12198 16264 22961 24396 45922 48792 68883 91844 137766 183688 275532 436259 551064 872518 1308777 1745036 2456827 2617554 3490072 4913654 5235108 7370481 9827308 10470216 14740962 19654616 29481924 46679713 58963848 93359426 140039139 186718852 280078278 373437704 560156556 1120313112