Search a number
-
+
30311031100 = 22527436411571
BaseRepresentation
bin11100001110101011…
…011010000100111100
32220020102112220211111
4130032223122010330
5444034110443400
621531422331404
72122064341030
oct341653320474
986212486744
1030311031100
1111944872329
125a5b129b64
132b20955b7c
1416778901c0
15bc60b63ba
hex70eada13c

30311031100 has 144 divisors (see below), whose sum is σ = 77088566016. Its totient is φ = 10128384000.

The previous prime is 30311031071. The next prime is 30311031103. The reversal of 30311031100 is 113011303.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30311031103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19293315 + ... + 19294885.

It is an arithmetic number, because the mean of its divisors is an integer number (535337264).

Almost surely, 230311031100 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 30311031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38544283008).

30311031100 is an abundant number, since it is smaller than the sum of its proper divisors (46777534916).

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

30311031100 is a wasteful number, since it uses less digits than its factorization.

30311031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 30311031100 its reverse (113011303), we get a palindrome (30424042403).

The spelling of 30311031100 in words is "thirty billion, three hundred eleven million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 641 700 860 1075 1204 1282 1505 1571 2150 2564 3010 3142 3205 4300 4487 6020 6284 6410 7525 7855 8974 10997 12820 15050 15710 16025 17948 21994 22435 27563 30100 31420 32050 39275 43988 44870 54985 55126 64100 67553 78550 89740 109970 110252 112175 135106 137815 157100 192941 219940 224350 270212 274925 275630 337765 385882 448700 472871 549850 551260 675530 689075 771764 945742 964705 1007011 1099700 1351060 1378150 1688825 1891484 1929410 2014022 2364355 2756300 3377650 3858820 4028044 4728710 4823525 5035055 6755300 7049077 9457420 9647050 10070110 11821775 14098154 19294100 20140220 23643550 25175275 28196308 35245385 43301473 47287100 50350550 70490770 86602946 100701100 140981540 173205892 176226925 216507365 303110311 352453850 433014730 606220622 704907700 866029460 1082536825 1212441244 1515551555 2165073650 3031103110 4330147300 6062206220 7577757775 15155515550 30311031100