Search a number
-
+
111114034220 = 22571755278447
BaseRepresentation
bin110011101111011101…
…0011001110000101100
3101121210201122210000202
41213132322121300230
53310030143043340
6123013423213032
711012336464430
oct1473672316054
9347721583022
10111114034220
1143139a80552
121964ba47178
13a62a252757
1455411369c0
152d54d01c15
hex19dee99c2c

111114034220 has 96 divisors (see below), whose sum is σ = 282444890112. Its totient is φ = 35844553728.

The previous prime is 111114034117. The next prime is 111114034223. The reversal of 111114034220 is 22430411111.

111114034220 is digitally balanced in base 3, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 111114034192 and 111114034201.

It is not an unprimeable number, because it can be changed into a prime (111114034223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13150037 + ... + 13158483.

It is an arithmetic number, because the mean of its divisors is an integer number (2942134272).

Almost surely, 2111114034220 is an apocalyptic number.

111114034220 is a gapful number since it is divisible by the number (10) 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 111114034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141222445056).

111114034220 is an abundant number, since it is smaller than the sum of its proper divisors (171330855892).

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

111114034220 is a wasteful number, since it uses less digits than its factorization.

111114034220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 111114034220 its reverse (22430411111), we get a palindrome (133544445331).

The spelling of 111114034220 in words is "one hundred eleven billion, one hundred fourteen million, thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 5527 8447 11054 16894 22108 27635 33788 38689 42235 55270 59129 77378 84470 93959 110540 118258 143599 154756 168940 187918 193445 236516 287198 295645 375836 386890 469795 574396 591290 657713 717995 773780 939590 1005193 1182580 1315426 1435990 1879180 2010386 2630852 2871980 3288565 4020772 5025965 6577130 10051930 13154260 20103860 46686569 93373138 186746276 233432845 326805983 466865690 653611966 793671673 933731380 1307223932 1587343346 1634029915 3174686692 3268059830 3968358365 5555701711 6536119660 7936716730 11111403422 15873433460 22222806844 27778508555 55557017110 111114034220