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212011222120 = 23517311781209
BaseRepresentation
bin1100010101110011011…
…0101000010001101000
3202021020102111222200221
43011130312220101220
511433144333101440
6241221400135424
721213556440205
oct3053466502150
9667212458627
10212011222120
1181a05898155
123510a167574
1316cb98b28b9
14a3933c0cac
1557acbaed4a
hex315cda8468

212011222120 has 32 divisors (see below), whose sum is σ = 505085560200. Its totient is φ = 79815989248.

The previous prime is 212011222117. The next prime is 212011222169. The reversal of 212011222120 is 21222110212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 204790641444 + 7220580676 = 452538^2 + 84974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212011222094 and 212011222103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 155889925 + ... + 155891284.

Almost surely, 2212011222120 is an apocalyptic number.

212011222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011222120 is an abundant number, since it is smaller than the sum of its proper divisors (293074338080).

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

212011222120 is a wasteful number, since it uses less digits than its factorization.

212011222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311781237 (or 311781233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212011222120 its reverse (21222110212), we get a palindrome (233233332332).

The spelling of 212011222120 in words is "two hundred twelve billion, eleven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 311781209 623562418 1247124836 1558906045 2494249672 3117812090 5300280553 6235624180 10600561106 12471248360 21201122212 26501402765 42402244424 53002805530 106005611060 212011222120