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212220210011022 = 23331168323753161
BaseRepresentation
bin110000010000001101011110…
…001110110101101110001110
31000211102001110022200210002000
4300100031132032311232032
5210304003442230323042
62031204341340213130
762462255432462133
oct6020153616655616
91024361408623060
10212220210011022
11616900a3a887a4
121b975846b3a1a6
139155384026425
143a5972783658a
15198050483574c
hexc1035e3b5b8e

212220210011022 has 64 divisors (see below), whose sum is σ = 486816923473920. Its totient is φ = 68457634660800.

The previous prime is 212220210010969. The next prime is 212220210011023. The reversal of 212220210011022 is 220110012022212.

It is a happy number.

212220210011022 is a `hidden beast` number, since 212 + 220 + 2 + 100 + 110 + 22 = 666.

212220210011022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122202100110222 (a number of 29 digits) contains 22 as substring.

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 = 212220210010986 and 212220210011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220210011023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281396122 + ... + 282149282.

It is an arithmetic number, because the mean of its divisors is an integer number (7606514429280).

Almost surely, 2212220210011022 is an apocalyptic number.

212220210011022 is an abundant number, since it is smaller than the sum of its proper divisors (274596713462898).

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

212220210011022 is a wasteful number, since it uses less digits than its factorization.

212220210011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921526 (or 921520 counting only the distinct ones).

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

Adding to 212220210011022 its reverse (220110012022212), we get a palindrome (432330222033234).

The spelling of 212220210011022 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred ten million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 168323 336646 504969 753161 1009938 1506322 1514907 2259483 3029814 4518966 4544721 5218013 6778449 9089442 10436026 13556898 15654039 20335347 23347991 31308078 40670694 46695982 46962117 70043973 93924234 140087946 140886351 210131919 281772702 420263838 630395757 1260791514 126774319003 253548638006 380322957009 760645914018 1140968871027 2281937742054 3422906613081 3930003889093 6845813226162 7860007778186 11790011667279 23580023334558 35370035001837 70740070003674 106110105005511 212220210011022