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2202120022122 = 232412181402089
BaseRepresentation
bin100000000010111000100…
…101001110100001101010
321210112001112022211002100
4200002320211032201222
5242034420211201442
64403350122314230
7315045405226416
oct40027045164152
97715045284070
102202120022122
11779a06385a89
122b6951658976
1312c874b618b7
147882434dd46
153c43762184c
hex200b894e86a

2202120022122 has 72 divisors (see below), whose sum is σ = 4917501994860. Its totient is φ = 712178265600.

The previous prime is 2202120022117. The next prime is 2202120022159. The reversal of 2202120022122 is 2212200212022.

2202120022122 is a `hidden beast` number, since 220 + 2 + 1 + 200 + 221 + 22 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8613881721 + 2193506140401 = 92811^2 + 1481049^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2202120022095 and 2202120022104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5275654 + ... + 5677742.

Almost surely, 22202120022122 is an apocalyptic number.

2202120022122 is an abundant number, since it is smaller than the sum of its proper divisors (2715381972738).

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

2202120022122 is a wasteful number, since it uses less digits than its factorization.

2202120022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402360 (or 402316 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2202120022122 its reverse (2212200212022), we get a palindrome (4414320234144).

The spelling of 2202120022122 in words is "two trillion, two hundred two billion, one hundred twenty million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 123 181 246 362 369 543 738 1086 1629 1681 3258 3362 5043 7421 10086 14842 15129 22263 30258 44526 66789 133578 304261 402089 608522 804178 912783 1206267 1825566 2412534 2738349 3618801 5476698 7237602 16485649 32971298 49456947 72778109 98913894 145556218 148370841 218334327 296741682 436668654 655002981 675911609 1310005962 1351823218 2027734827 2983902469 4055469654 5967804938 6083204481 8951707407 12166408962 17903414814 26855122221 53710244442 122340001229 244680002458 367020003687 734040007374 1101060011061 2202120022122