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212120200022202 = 23329631214664837
BaseRepresentation
bin110000001110110000010101…
…001011000000100010111010
31000211001111022110020221202000
4300032300111023000202322
5210300334132201202302
62031050401415121430
762452115204551533
oct6016602513004272
91024044273227660
10212120200022202
1161651742a4a97a
121b95a395973276
139148b0642a254
143a5495b33568a
15197caee7c631c
hexc0ec152c08ba

212120200022202 has 64 divisors (see below), whose sum is σ = 488405439417600. Its totient is φ = 68160378726720.

The previous prime is 212120200022201. The next prime is 212120200022317. The reversal of 212120200022202 is 202220002021212.

It is a super-2 number, since 2×2121202000222022 (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 not an unprimeable number, because it can be changed into a prime (212120200022201) by changing a digit.

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, 106344273 + ... + 108320564.

It is an arithmetic number, because the mean of its divisors is an integer number (7631334990900).

Almost surely, 2212120200022202 is an apocalyptic number.

212120200022202 is an abundant number, since it is smaller than the sum of its proper divisors (276285239395398).

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

212120200022202 is a wasteful number, since it uses less digits than its factorization.

212120200022202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214665508 (or 214665502 counting only the distinct ones).

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

Adding to 212120200022202 its reverse (202220002021212), we get a palindrome (414340202043414).

The spelling of 212120200022202 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred million, twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 631 783 1262 1566 1893 3786 5679 11358 17037 18299 34074 36598 54897 109794 164691 329382 494073 988146 214664837 429329674 643994511 1287989022 1931983533 3863967066 5795950599 6225280273 11591901198 12450560546 18675840819 37351681638 56027522457 112055044914 135453512147 168082567371 270907024294 336165134742 406360536441 812721072882 1219081609323 2438163218646 3657244827969 3928151852263 7314489655938 7856303704526 11784455556789 23568911113578 35353366670367 70706733340734 106060100011101 212120200022202