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2212022122212 = 223779571583777
BaseRepresentation
bin100000001100000110110…
…010101111011011100100
321211110121121212121210010
4200030012302233123210
5242220210130402322
64412104450530220
7315545653544040
oct40140662573344
97743547777703
102212022122212
11783127903381
122b8855896970
13130792492416
14790c34ab020
153c816ae220c
hex20306caf6e4

2212022122212 has 96 divisors (see below), whose sum is σ = 5983864606720. Its totient is φ = 622912343040.

The previous prime is 2212022122207. The next prime is 2212022122249. The reversal of 2212022122212 is 2122212202122.

It is a Harshad number since it is a multiple of its sum of digits (21).

2212022122212 is a modest number, since divided by 22122212 gives 22120 as remainder.

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, 3497268 + ... + 4081044.

Almost surely, 22212022122212 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 2212022122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991932303360).

2212022122212 is an abundant number, since it is smaller than the sum of its proper divisors (3771842484508).

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

2212022122212 is a wasteful number, since it uses less digits than its factorization.

2212022122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584441 (or 584439 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2212022122212 its reverse (2122212202122), we get a palindrome (4334234324334).

The spelling of 2212022122212 in words is "two trillion, two hundred twelve billion, twenty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 571 948 1106 1142 1659 1713 2212 2284 3318 3426 3997 6636 6852 7994 11991 15988 23982 45109 47964 90218 135327 180436 270654 315763 541308 583777 631526 947289 1167554 1263052 1751331 1894578 2335108 3502662 3789156 4086439 7005324 8172878 12259317 16345756 24518634 46118383 49037268 92236766 138355149 184473532 276710298 322828681 333336667 553420596 645657362 666673334 968486043 1000010001 1291314724 1333346668 1936972086 2000020002 2333356669 3873944172 4000040004 4666713338 7000070007 9333426676 14000140014 26333596693 28000280028 52667193386 79000790079 105334386772 158001580158 184335176851 316003160316 368670353702 553005530553 737340707404 1106011061106 2212022122212