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22022121212010 = 23254140119017829
BaseRepresentation
bin1010000000111011011001…
…01101100100100001101010
32212222021221111021100201100
411000131230231210201222
510341302301012241020
6114500453421302230
74432021456515303
oct500355455444152
985867844240640
1022022121212010
117020590343917
12257804ba04976
13c398a582986a
14561c3aa017aa
15282ca4e36a90
hex14076cb6486a

22022121212010 has 192 divisors, whose sum is σ = 58838755116960. Its totient is φ = 5711308800000.

The previous prime is 22022121211999. The next prime is 22022121212023. The reversal of 22022121212010 is 1021212122022.

It is a happy number.

22022121212010 is a `hidden beast` number, since 220 + 221 + 2 + 1 + 21 + 201 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 112728734001 + 21909392478009 = 335751^2 + 4680747^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2812886776 + ... + 2812894604.

Almost surely, 222022121212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022121212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29419377558480).

22022121212010 is an abundant number, since it is smaller than the sum of its proper divisors (36816633904950).

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

22022121212010 is a wasteful number, since it uses less digits than its factorization.

22022121212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10185 (or 10182 counting only the distinct ones).

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

Adding to 22022121212010 its reverse (1021212122022), we get a palindrome (23043333334032).

The spelling of 22022121212010 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, ten".