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213112011112 = 2371113101263489
BaseRepresentation
bin1100011001111001110…
…1110011100101101000
3202101002010211212022121
43012132131303211220
511442423133323422
6241522522001024
721253054130440
oct3063635634550
9671063755277
10213112011112
11824201a1220
1235376946174
131713397b730
14a459687120
15582464e8c7
hex319e773968

213112011112 has 128 divisors (see below), whose sum is σ = 541819756800. Its totient is φ = 75884544000.

The previous prime is 213112011107. The next prime is 213112011121. The reversal of 213112011112 is 211110211312.

It is a happy number.

It is a super-2 number, since 2×2131120111122 (a number of 23 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, 677064 + ... + 940552.

It is an arithmetic number, because the mean of its divisors is an integer number (4232966850).

Almost surely, 2213112011112 is an apocalyptic number.

213112011112 is a gapful number since it is divisible by the number (22) 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 213112011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270909878400).

213112011112 is an abundant number, since it is smaller than the sum of its proper divisors (328707745688).

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

213112011112 is a wasteful number, since it uses less digits than its factorization.

213112011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263627 (or 263623 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 213112011112 its reverse (211110211312), we get a palindrome (424222222424).

The spelling of 213112011112 in words is "two hundred thirteen billion, one hundred twelve million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 101 104 143 154 182 202 286 308 364 404 572 616 707 728 808 1001 1111 1144 1313 1414 2002 2222 2626 2828 4004 4444 5252 5656 7777 8008 8888 9191 10504 14443 15554 18382 28886 31108 36764 57772 62216 73528 101101 115544 202202 263489 404404 526978 808808 1053956 1844423 2107912 2898379 3425357 3688846 5796758 6850714 7377692 11593516 13701428 14755384 20288653 23187032 23977499 26612389 27402856 37678927 40577306 47954998 53224778 75357854 81154612 95909996 106449556 150715708 162309224 186286723 191819992 212899112 263752489 292736279 301431416 345961057 372573446 527504978 585472558 691922114 745146892 1055009956 1170945116 1383844228 1490293784 2049153953 2110019912 2341890232 2421727399 2767688456 3805571627 4098307906 4843454798 7611143254 8196615812 9686909596 15222286508 16393231624 19373819192 26639001389 30444573016 53278002778 106556005556 213112011112