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231131241100 = 225237972272837
BaseRepresentation
bin1101011101000001111…
…1101101101010001100
3211002120221012120221001
43113100133231222030
512241324044203400
6254102532350044
722461435063604
oct3272037555214
9732527176831
10231131241100
118a027618431
1238965475324
1318a45b82ab6
14b28887bc04
15602b555a6a
hex35d07eda8c

231131241100 has 144 divisors (see below), whose sum is σ = 522897594912. Its totient is φ = 88602992640.

The previous prime is 231131241083. The next prime is 231131241109. The reversal of 231131241100 is 1142131132.

It is a super-2 number, since 2×2311312411002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231131241109) 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, 81468882 + ... + 81471718.

It is an arithmetic number, because the mean of its divisors is an integer number (3631233298).

Almost surely, 2231131241100 is an apocalyptic number.

231131241100 is a gapful number since it is divisible by the number (20) 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 231131241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261448797456).

231131241100 is an abundant number, since it is smaller than the sum of its proper divisors (291766353812).

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

231131241100 is a wasteful number, since it uses less digits than its factorization.

231131241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 231131241100 its reverse (1142131132), we get a palindrome (232273372232).

The spelling of 231131241100 in words is "two hundred thirty-one billion, one hundred thirty-one million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 97 100 148 185 194 227 370 388 454 485 740 908 925 970 1135 1850 1940 2270 2425 2837 3589 3700 4540 4850 5674 5675 7178 8399 9700 11348 11350 14185 14356 16798 17945 22019 22700 28370 33596 35890 41995 44038 56740 70925 71780 83990 88076 89725 104969 110095 141850 167980 179450 209938 209975 220190 275189 283700 358900 419876 419950 440380 524845 550378 550475 643999 814703 839900 1049690 1100756 1100950 1287998 1375945 1629406 2099380 2201900 2575996 2624225 2751890 3219995 3258812 4073515 5248450 5503780 6439990 6879725 8147030 10181993 10496900 12879980 13759450 16099975 16294060 20363986 20367575 23827963 27518900 32199950 40727972 40735150 47655926 50909965 62467903 64399900 81470300 95311852 101819930 119139815 124935806 203639860 238279630 249871612 254549825 312339515 476559260 509099650 595699075 624679030 1018199300 1191398150 1249358060 1561697575 2311312411 2382796300 3123395150 4622624822 6246790300 9245249644 11556562055 23113124110 46226248220 57782810275 115565620550 231131241100