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211012012220 = 2251911335313921
BaseRepresentation
bin1100010010000101001…
…0111100100010111100
3202011122210022212101212
43010201102330202330
511424123033342340
6240534303423552
721150034336622
oct3044122744274
9664583285355
10211012012220
1181542863a49
1234a8b5b4bb8
1316b8a891239
14a2da7db512
1557500d7a65
hex31214bc8bc

211012012220 has 96 divisors (see below), whose sum is σ = 471942434880. Its totient is φ = 79024619520.

The previous prime is 211012012187. The next prime is 211012012223. The reversal of 211012012220 is 22210210112.

It is a super-2 number, since 2×2110120122202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211012012195 and 211012012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012012223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15150860 + ... + 15164780.

It is an arithmetic number, because the mean of its divisors is an integer number (4916067030).

Almost surely, 2211012012220 is an apocalyptic number.

211012012220 is a gapful number since it is divisible by the number (20) 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 211012012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235971217440).

211012012220 is an abundant number, since it is smaller than the sum of its proper divisors (260930422660).

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

211012012220 is a wasteful number, since it uses less digits than its factorization.

211012012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14415 (or 14413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211012012220 its reverse (22210210112), we get a palindrome (233222222332).

The spelling of 211012012220 in words is "two hundred eleven billion, twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 353 380 452 565 706 1130 1412 1765 2147 2260 3530 4294 6707 7060 8588 10735 13414 13921 21470 26828 27842 33535 39889 42940 55684 67070 69605 79778 134140 139210 159556 199445 264499 278420 398890 528998 757891 797780 1057996 1322495 1515782 1573073 2644990 3031564 3146146 3789455 4914113 5289980 6292292 7578910 7865365 9828226 15157820 15730730 19656452 24570565 29888387 31461460 49141130 59776774 93368147 98282260 119553548 149441935 186736294 298883870 373472588 466840735 555294769 597767740 933681470 1110589538 1867362940 2221179076 2776473845 5552947690 10550600611 11105895380 21101201222 42202402444 52753003055 105506006110 211012012220