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231001103000 = 23532774791741
BaseRepresentation
bin1101011100100010111…
…1010001101010011000
3211002020212022220000102
43113020233101222120
512241042240244000
6254042003154532
722455264656333
oct3271057215230
9732225286012
10231001103000
1189a70111788
1238929975a48
1318a24c194c5
14b27548361a
15601edeb3d5
hex35c8bd1a98

231001103000 has 128 divisors (see below), whose sum is σ = 543938803200. Its totient is φ = 91821888000.

The previous prime is 231001102999. The next prime is 231001103059. The reversal of 231001103000 is 301100132.

231001103000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 132682130 + ... + 132683870.

It is an arithmetic number, because the mean of its divisors is an integer number (4249521900).

Almost surely, 2231001103000 is an apocalyptic number.

231001103000 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 231001103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271969401600).

231001103000 is an abundant number, since it is smaller than the sum of its proper divisors (312937700200).

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

231001103000 is a wasteful number, since it uses less digits than its factorization.

231001103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 231001103000 its reverse (301100132), we get a palindrome (231302203132).

The spelling of 231001103000 in words is "two hundred thirty-one billion, one million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 479 500 554 958 1000 1108 1385 1741 1916 2216 2395 2770 3482 3832 4790 5540 6925 6964 8705 9580 11080 11975 13850 13928 17410 19160 23950 27700 34625 34820 43525 47900 55400 59875 69250 69640 87050 95800 119750 132683 138500 174100 217625 239500 265366 277000 348200 435250 479000 482257 530732 663415 833939 870500 964514 1061464 1326830 1667878 1741000 1929028 2411285 2653660 3317075 3335756 3858056 4169695 4822570 5307320 6634150 6671512 8339390 9645140 12056425 13268300 16585375 16678780 19290280 20848475 24112850 26536600 33170750 33357560 41696950 48225700 60282125 66341500 83393900 96451400 104242375 120564250 132683000 166787800 208484750 231001103 241128500 416969500 462002206 482257000 833939000 924004412 1155005515 1848008824 2310011030 4620022060 5775027575 9240044120 11550055150 23100110300 28875137875 46200220600 57750275750 115500551500 231001103000