Search a number
-
+
3111220112 = 2472111327751
BaseRepresentation
bin1011100101110001…
…0111001110010000
322000211022100122112
42321130113032100
522332433020422
61232420124452
7140045635400
oct27134271620
98024270575
103111220112
1113572257a0
12729b36728
133a7756060
142172b8800
15133212ee2
hexb9717390

3111220112 has 120 divisors (see below), whose sum is σ = 8238347712. Its totient is φ = 1118880000.

The previous prime is 3111220103. The next prime is 3111220117. The reversal of 3111220112 is 2110221113.

3111220112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (3111220117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98237 + ... + 125987.

Almost surely, 23111220112 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 3111220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119173856).

3111220112 is an abundant number, since it is smaller than the sum of its proper divisors (5127127600).

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

3111220112 is a wasteful number, since it uses less digits than its factorization.

3111220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27797 (or 27784 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 3111220112 is about 55778.3122010697. The cubic root of 3111220112 is about 1459.8567620783.

Adding to 3111220112 its reverse (2110221113), we get a palindrome (5221441225).

The spelling of 3111220112 in words is "three billion, one hundred eleven million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 286 308 364 392 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 2002 2156 2288 2548 4004 4312 5096 7007 8008 8624 10192 14014 16016 27751 28028 55502 56056 111004 112112 194257 222008 305261 360763 388514 444016 610522 721526 777028 1221044 1359799 1443052 1554056 2136827 2442088 2525341 2719598 2886104 3108112 3968393 4273654 4884176 5050682 5439196 5772208 7936786 8547308 10101364 10878392 14957789 15873572 17094616 17677387 20202728 21756784 27778751 29915578 31747144 34189232 35354774 40405456 55557502 59831156 63494288 70709548 111115004 119662312 141419096 194451257 222230008 239324624 282838192 388902514 444460016 777805028 1555610056 3111220112