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31051040214100 = 225217232939270209
BaseRepresentation
bin1110000111101101000100…
…01110001100110001010100
311001221110011101021201002011
413003312202032030301110
513032220012243322400
6150012352334354004
76353235502661164
oct703664216146124
9131843141251064
1031051040214100
11999174377a275
123595a9665b904
13144313cb24aba
14794c4233c5a4
1538ca973ab8ba
hex1c3da238cc54

31051040214100 has 144 divisors (see below), whose sum is σ = 74471864745600. Its totient is φ = 11177705144320.

The previous prime is 31051040214041. The next prime is 31051040214107. The reversal of 31051040214100 is 141204015013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31051040214107) 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, 114779796 + ... + 115050004.

It is an arithmetic number, because the mean of its divisors is an integer number (517165727400).

Almost surely, 231051040214100 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 31051040214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37235932372800).

31051040214100 is an abundant number, since it is smaller than the sum of its proper divisors (43420824531500).

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

31051040214100 is a wasteful number, since it uses less digits than its factorization.

31051040214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273202 (or 273195 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 31051040214100 its reverse (141204015013), we get a palindrome (31192244229113).

The spelling of 31051040214100 in words is "thirty-one trillion, fifty-one billion, forty million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 575 782 850 1150 1564 1700 1955 2300 2939 3910 5878 7820 9775 11756 14695 19550 29390 39100 49963 58780 67597 73475 99926 135194 146950 199852 249815 270209 270388 293900 337985 499630 540418 675970 999260 1080836 1149149 1249075 1351045 1351940 1689925 2298298 2498150 2702090 3379850 4593553 4596596 4996300 5404180 5745745 6214807 6755225 6759700 9187106 11491490 12429614 13510450 18374212 22967765 22982980 24859228 27020900 28728725 31074035 45935530 57457450 62148070 91871060 105651719 114838825 114914900 124296140 155370175 211303438 229677650 310740350 422606876 459355300 528258595 621480700 794144251 1056517190 1588288502 2113034380 2641292975 3176577004 3970721255 5282585950 7941442510 10565171900 13500452267 15882885020 18265317773 19853606275 27000904534 36530635546 39707212550 54001809068 67502261335 73061271092 79414425100 91326588865 135004522670 182653177730 270009045340 310510402141 337511306675 365306355460 456632944325 621020804282 675022613350 913265888650 1242041608564 1350045226700 1552552010705 1826531777300 3105104021410 6210208042820 7762760053525 15525520107050 31051040214100