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2261031112230 = 23511107193331781
BaseRepresentation
bin100000111001101111111…
…101001100111000100110
322000011010010221021021120
4200321233331030320212
5244021042431042410
64450411531354410
7322232313230622
oct40715775147046
98004103837246
102261031112230
117a1997132a10
123062528b2a06
131352a2b21bb7
147b612350182
153dc3447e570
hex20e6ff4ce26

2261031112230 has 128 divisors (see below), whose sum is σ = 6006092944896. Its totient is φ = 540190924800.

The previous prime is 2261031112211. The next prime is 2261031112237. The reversal of 2261031112230 is 322111301622.

It is a super-2 number, since 2×22610311122302 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2261031112230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261031112237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6648940 + ... + 6980720.

It is an arithmetic number, because the mean of its divisors is an integer number (46922601132).

Almost surely, 22261031112230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261031112230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003046472448).

2261031112230 is an abundant number, since it is smaller than the sum of its proper divisors (3745061832666).

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

2261031112230 is a wasteful number, since it uses less digits than its factorization.

2261031112230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332102.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 2261031112230 its reverse (322111301622), we get a palindrome (2583142413852).

The spelling of 2261031112230 in words is "two trillion, two hundred sixty-one billion, thirty-one million, one hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 193 214 321 330 386 535 579 642 965 1070 1158 1177 1605 1930 2123 2354 2895 3210 3531 4246 5790 5885 6369 7062 10615 11770 12738 17655 20651 21230 31845 35310 41302 61953 63690 103255 123906 206510 227161 309765 331781 454322 619530 663562 681483 995343 1135805 1362966 1658905 1990686 2271610 3317810 3407415 3649591 4976715 6814830 7299182 9953430 10948773 18247955 21897546 35500567 36495910 54743865 64033733 71001134 106501701 109487730 128067466 177502835 192101199 213003402 320168665 355005670 384202398 390506237 532508505 640337330 704371063 781012474 960505995 1065017010 1171518711 1408742126 1921011990 1952531185 2113113189 2343037422 3521855315 3905062370 4226226378 5857593555 6851609431 7043710630 10565565945 11715187110 13703218862 20554828293 21131131890 34258047155 41109656586 68516094310 75367703741 102774141465 150735407482 205548282930 226103111223 376838518705 452206222446 753677037410 1130515556115 2261031112230