Search a number
-
+
31232323320 = 233511103229717
BaseRepresentation
bin11101000101100101…
…110110111011111000
32222121122010102011120
4131011211312323320
51002430433321240
622203053025240
72153652240132
oct350545667370
988548112146
1031232323320
1112277917860
126077785220
132c39795bb3
141723d90052
15c2bdebad0
hex745976ef8

31232323320 has 128 divisors (see below), whose sum is σ = 103207703040. Its totient is φ = 7497930240.

The previous prime is 31232323301. The next prime is 31232323321. The reversal of 31232323320 is 2332323213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31232323321) 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, 21102 + ... + 250818.

It is an arithmetic number, because the mean of its divisors is an integer number (806310180).

Almost surely, 231232323320 is an apocalyptic number.

31232323320 is a gapful number since it is divisible by the number (30) 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 31232323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51603851520).

31232323320 is an abundant number, since it is smaller than the sum of its proper divisors (71975379720).

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

31232323320 is a wasteful number, since it uses less digits than its factorization.

31232323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229845 (or 229841 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 31232323320 its reverse (2332323213), we get a palindrome (33564646533).

The spelling of 31232323320 in words is "thirty-one billion, two hundred thirty-two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 220 264 309 330 412 440 515 618 660 824 1030 1133 1236 1320 1545 2060 2266 2472 3090 3399 4120 4532 5665 6180 6798 9064 11330 12360 13596 16995 22660 27192 33990 45320 67980 135960 229717 459434 689151 918868 1148585 1378302 1837736 2297170 2526887 2756604 3445755 4594340 5053774 5513208 6891510 7580661 9188680 10107548 12634435 13783020 15161322 20215096 23660851 25268870 27566040 30322644 37903305 47321702 50537740 60645288 70982553 75806610 94643404 101075480 118304255 141965106 151613220 189286808 236608510 260269361 283930212 303226440 354912765 473217020 520538722 567860424 709825530 780808083 946434040 1041077444 1301346805 1419651060 1561616166 2082154888 2602693610 2839302120 3123232332 3904040415 5205387220 6246464664 7808080830 10410774440 15616161660 31232323320