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10112213034 = 23271165311173
BaseRepresentation
bin10010110101011110…
…00010000000101010
3222002201220122110200
421122233002000222
5131202211304114
64351231453030
7505406251440
oct113257020052
928081818420
1010112213034
11431a098360
121b62687176
13c52018c11
146bd012b90
153e2b76409
hex25abc202a

10112213034 has 96 divisors (see below), whose sum is σ = 27360388224. Its totient is φ = 2622291840.

The previous prime is 10112213011. The next prime is 10112213053. The reversal of 10112213034 is 43031221101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10112212998 and 10112213016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 899472 + ... + 910644.

It is an arithmetic number, because the mean of its divisors is an integer number (285004044).

Almost surely, 210112213034 is an apocalyptic number.

10112213034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112213034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680194112).

10112213034 is an abundant number, since it is smaller than the sum of its proper divisors (17248175190).

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

10112213034 is a wasteful number, since it uses less digits than its factorization.

10112213034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10112213034 its reverse (43031221101), we get a palindrome (53143434135).

The spelling of 10112213034 in words is "ten billion, one hundred twelve million, two hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 653 693 1306 1386 1959 3918 4571 5877 7183 9142 11173 11754 13713 14366 21549 22346 27426 33519 41139 43098 50281 64647 67038 78211 82278 100557 100562 122903 129294 150843 156422 201114 234633 245806 301686 368709 452529 469266 703899 737418 860321 905058 1106127 1407798 1720642 2212254 2580963 5161926 7295969 7742889 14591938 15485778 21887907 43775814 51071783 65663721 80255659 102143566 131327442 153215349 160511318 240766977 306430698 459646047 481533954 561789613 722300931 919292094 1123579226 1444601862 1685368839 3370737678 5056106517 10112213034