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212201011022022 = 232115983921216451
BaseRepresentation
bin110000001111111011100101…
…111000100000100011000110
31000211100012220022102002100100
4300033323211320200203012
5210303200132310201042
62031151444303224530
762461005604662231
oct6017734570404306
91024305808362310
10212201011022022
1161682a41720140
121b971b892a8146
1391536145968c9
143a58825aa0418
15197ec7e09124c
hexc0fee5e208c6

212201011022022 has 96 divisors (see below), whose sum is σ = 510075579611520. Its totient is φ = 63212404320000.

The previous prime is 212201011022017. The next prime is 212201011022027. The reversal of 212201011022022 is 220220110102212.

It is a happy number.

212201011022022 is a `hidden beast` number, since 212 + 201 + 0 + 1 + 10 + 220 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (212201011022017) and next prime (212201011022027).

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 = 212201011021986 and 212201011022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201011022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980256897 + ... + 980473347.

It is an arithmetic number, because the mean of its divisors is an integer number (5313287287620).

Almost surely, 2212201011022022 is an apocalyptic number.

212201011022022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212201011022022 is an abundant number, since it is smaller than the sum of its proper divisors (297874568589498).

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

212201011022022 is a wasteful number, since it uses less digits than its factorization.

212201011022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300450 (or 300447 counting only the distinct ones).

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

Adding to 212201011022022 its reverse (220220110102212), we get a palindrome (432421121124234).

The spelling of 212201011022022 in words is "two hundred twelve trillion, two hundred one billion, eleven million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 11682 83921 167842 216451 251763 432902 503526 649353 755289 923131 1298706 1510578 1846262 1948059 2380961 2769393 3896118 4761922 4951339 5538786 7142883 8308179 9902678 12770609 14285766 14854017 16616358 21428649 25541218 29708034 38311827 42857298 44562051 54464729 76623654 89124102 108929458 114935481 140476699 163394187 229870962 280953398 326788374 421430097 490182561 842860194 980365122 1264290291 2528580582 18164784371 36329568742 54494353113 108988706226 163483059339 199812628081 326966118678 399625256162 599437884243 1071722277889 1198875768486 1798313652729 2143444555778 3215166833667 3596627305458 6430333667334 9645500501001 11788945056779 19291001002002 23577890113558 35366835170337 70733670340674 106100505511011 212201011022022