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212011010220 = 223553161341333
BaseRepresentation
bin1100010101110011010…
…1110100100010101100
3202021020102010020000210
43011130311310202230
511433144304311340
6241221351422420
721213554565342
oct3053465644254
9667212106023
10212011010220
1181a05762a29
123510a084a10
1316cb983a309
14a393367992
1557acb6c180
hex315cd748ac

212011010220 has 96 divisors (see below), whose sum is σ = 605221025472. Its totient is φ = 55433817088.

The previous prime is 212011010219. The next prime is 212011010231. The reversal of 212011010220 is 22010110212.

212011010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212011010196 and 212011010205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5108674 + ... + 5150006.

It is an arithmetic number, because the mean of its divisors is an integer number (6304385682).

Almost surely, 2212011010220 is an apocalyptic number.

212011010220 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 212011010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302610512736).

212011010220 is an abundant number, since it is smaller than the sum of its proper divisors (393210015252).

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

212011010220 is a wasteful number, since it uses less digits than its factorization.

212011010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43011 (or 43009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212011010220 its reverse (22010110212), we get a palindrome (234021120432).

The spelling of 212011010220 in words is "two hundred twelve billion, eleven million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 1613 3180 3226 4839 6452 8065 9678 16130 19356 24195 32260 41333 48390 82666 85489 96780 123999 165332 170978 206665 247998 256467 341956 413330 427445 495996 512934 619995 826660 854890 1025868 1239990 1282335 1709780 2190649 2479980 2564670 4381298 5129340 6571947 8762596 10953245 13143894 21906490 26287788 32859735 43812980 65719470 66670129 131438940 133340258 200010387 266680516 333350645 400020774 666701290 800041548 1000051935 1333402580 2000103870 3533516837 4000207740 7067033674 10600550511 14134067348 17667584185 21201101022 35335168370 42402202044 53002752555 70670336740 106005505110 212011010220