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10212112011112 = 231110119146113049
BaseRepresentation
bin1001010010011011000101…
…0011110000111101101000
31100011021020122101212000221
42110212301103300331220
52314303401133323422
633415213545335424
72102541440604124
oct224466123607550
940137218355027
1010212112011112
113287a29001460
12118b213797574
13590cc8899a7b
142743a9a68584
1512a9918b13c7
hex949b14f0f68

10212112011112 has 128 divisors (see below), whose sum is σ = 21253300992000. Its totient is φ = 4561580800000.

The previous prime is 10212112011109. The next prime is 10212112011133. The reversal of 10212112011112 is 21111021121201.

It is a super-2 number, since 2×102121120111122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782590764 + ... + 782603812.

It is an arithmetic number, because the mean of its divisors is an integer number (166041414000).

Almost surely, 210212112011112 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 10212112011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10626650496000).

10212112011112 is an abundant number, since it is smaller than the sum of its proper divisors (11041188980888).

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

10212112011112 is a wasteful number, since it uses less digits than its factorization.

10212112011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819 (or 13815 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10212112011112 its reverse (21111021121201), we get a palindrome (31323133132313).

The spelling of 10212112011112 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 191 202 382 404 461 764 808 922 1111 1528 1844 2101 2222 3688 4202 4444 5071 8404 8888 10142 13049 16808 19291 20284 26098 38582 40568 46561 52196 77164 88051 93122 104392 143539 154328 176102 186244 212201 287078 352204 372488 424402 512171 574156 704408 848804 968561 1024342 1148312 1317949 1697608 1937122 2048684 2492359 2635898 3874244 4097368 4984718 5271796 6015589 7748488 8893151 9969436 10543592 12031178 14497439 17786302 19938872 24062356 27415949 28994878 35572604 48124712 54831898 57989756 66171479 71145208 97824661 109663796 115979512 132342958 195649322 219327592 251728259 264685916 391298644 503456518 529371832 607574489 782597288 1006913036 1148977499 1215148978 2013826072 2297954998 2430297956 2769010849 4595909996 4860595912 5538021698 6683319379 9191819992 11076043396 12638752489 13366638758 22152086792 25277504978 26733277516 50555009956 53466555032 101110019912 116046727399 232093454798 464186909596 928373819192 1276514001389 2553028002778 5106056005556 10212112011112