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212010222010212 = 2232371014723333667
BaseRepresentation
bin110000001101001001111001…
…111110001011111101100100
31000210122222102220020002020200
4300031021321332023331210
5210242033413313311322
62030524052412430500
762441142641100213
oct6015117176137544
91023588386202220
10212010222010212
116160a03725877a
121b941002478430
13913b62a65b602
143a4d4c703707a
151979d145c38ac
hexc0d279f8bf64

212010222010212 has 144 divisors (see below), whose sum is σ = 555967759768512. Its totient is φ = 68064660806400.

The previous prime is 212010222010151. The next prime is 212010222010217.

It is a happy number.

212010222010212 is a `hidden beast` number, since 2 + 120 + 102 + 220 + 10 + 212 = 666.

212010222010212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212010222010217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635227803 + ... + 635561469.

Almost surely, 2212010222010212 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 212010222010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277983879884256).

212010222010212 is an abundant number, since it is smaller than the sum of its proper divisors (343957537758300).

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

212010222010212 is a wasteful number, since it uses less digits than its factorization.

212010222010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338538 (or 338533 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

It can be divided in two parts, 212010 and 222010212, that added together give a palindrome (222222222).

The spelling of 212010222010212 in words is "two hundred twelve trillion, ten billion, two hundred twenty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 4723 7474 9446 11211 14169 14948 18892 22422 28338 33633 42507 44844 56676 67266 85014 134532 170028 174751 333667 349502 477023 524253 667334 699004 954046 1001001 1048506 1334668 1431069 1572759 1908092 2002002 2097012 2862138 3003003 3145518 4004004 4293207 5724276 6006006 6291036 8586414 12012012 12345679 17172828 17649851 24691358 33700367 35299702 37037037 49382716 52949553 67400734 70599404 74074074 101101101 105899106 111111111 134801468 148148148 158848659 202202202 211798212 222222222 303303303 317697318 404404404 444444444 606606606 635394636 1213213212 1246913579 1575909241 2493827158 3151818482 3740740737 4727727723 4987654316 6303636964 7481481474 9455455446 11222222211 14183183169 14962962948 18910910892 22444444422 28366366338 44888888844 56732732676 58308641917 116617283834 159166833341 174925925751 233234567668 318333666682 349851851502 477500500023 524777777253 636667333364 699703703004 955001000046 1049555554506 1432501500069 1910002000092 2099111109012 2865003000138 5730006000276 5889172833617 11778345667234 17667518500851 23556691334468 35335037001702 53002555502553 70670074003404 106005111005106 212010222010212