Search a number
-
+
231100031100 = 223526165919163
BaseRepresentation
bin1101011100111010100…
…0101010000001111100
3211002111202110221212010
43113032220222001330
512241243101443400
6254055455411220
722460605565421
oct3271650520174
9732452427763
10231100031100
118a010a40944
1238956b23b10
1318a3c576143
14b284675d48
15602893d450
hex35cea2a07c

231100031100 has 144 divisors (see below), whose sum is σ = 680677683840. Its totient is φ = 60521260800.

The previous prime is 231100031047. The next prime is 231100031219. The reversal of 231100031100 is 1130001132.

231100031100 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12050119 + ... + 12069281.

It is an arithmetic number, because the mean of its divisors is an integer number (4726928360).

Almost surely, 2231100031100 is an apocalyptic number.

231100031100 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 231100031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340338841920).

231100031100 is an abundant number, since it is smaller than the sum of its proper divisors (449577652740).

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

231100031100 is a wasteful number, since it uses less digits than its factorization.

231100031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19900 (or 19893 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 231100031100 its reverse (1130001132), we get a palindrome (232230032232).

The spelling of 231100031100 in words is "two hundred thirty-one billion, one hundred million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 659 732 915 1220 1318 1525 1830 1977 2636 3050 3295 3660 3954 4575 6100 6590 7908 9150 9885 13180 16475 18300 19163 19770 32950 38326 39540 40199 49425 57489 65900 76652 80398 95815 98850 114978 120597 160796 191630 197700 200995 229956 241194 287445 383260 401990 479075 482388 574890 602985 803980 958150 1004975 1149780 1168943 1205970 1437225 1916300 2009950 2337886 2411940 2874450 3014925 3506829 4019900 4675772 5748900 5844715 6029850 7013658 11689430 12059700 12628417 14027316 17534145 23378860 25256834 29223575 35068290 37885251 50513668 58447150 63142085 70136580 75770502 87670725 116894300 126284170 151541004 175341450 189426255 252568340 315710425 350682900 378852510 631420850 757705020 770333437 947131275 1262841700 1540666874 1894262550 2311000311 3081333748 3788525100 3851667185 4622000622 7703334370 9244001244 11555001555 15406668740 19258335925 23110003110 38516671850 46220006220 57775007775 77033343700 115550015550 231100031100