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212000101122222 = 23275413310833269
BaseRepresentation
bin110000001101000000011110…
…101110000100000010101110
31000210122000022112222200222100
4300031000132232010002232
5210241402201341402342
62030515300230555530
762440334065005150
oct6015003656040256
91023560275880870
10212000101122222
1161605813285836
121b93b058b08ba6
13913a6a68c5caa
143a4cc06c06ad0
151979920cd6e4c
hexc0d01eb840ae

212000101122222 has 48 divisors (see below), whose sum is σ = 525049613019360. Its totient is φ = 60560267270976.

The previous prime is 212000101122179. The next prime is 212000101122239. The reversal of 212000101122222 is 222221101000212.

It is a happy number.

212000101122222 is a `hidden beast` number, since 21 + 200 + 0 + 101 + 122 + 222 = 666.

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 = 212000101122195 and 212000101122204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 154734597 + ... + 156098672.

It is an arithmetic number, because the mean of its divisors is an integer number (10938533604570).

Almost surely, 2212000101122222 is an apocalyptic number.

212000101122222 is an abundant number, since it is smaller than the sum of its proper divisors (313049511897138).

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

212000101122222 is a wasteful number, since it uses less digits than its factorization.

212000101122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310838697 (or 310838694 counting only the distinct ones).

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

Adding to 212000101122222 its reverse (222221101000212), we get a palindrome (434221202122434).

The spelling of 212000101122222 in words is "two hundred twelve trillion, one hundred one million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 5413 10826 16239 32478 37891 48717 75782 97434 113673 227346 341019 682038 310833269 621666538 932499807 1864999614 2175832883 2797499421 4351665766 5594998842 6527498649 13054997298 19582495947 39164991894 1682540485097 3365080970194 5047621455291 10095242910582 11777783395679 15142864365873 23555566791358 30285728731746 35333350187037 70666700374074 106000050561111 212000101122222