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10022212220211 = 339411171336863
BaseRepresentation
bin1001000111010111101001…
…1001100011010100110011
31022111010002012102221201000
42101311322121203110303
52303200442312021321
633152050222013043
72053036522164642
oct221657231432463
938433065387630
1010022212220211
11321443a579904
12115a456717183
13579123c52aa9
14269113153359
15125a79ee1826
hex91d7a663533

10022212220211 has 32 divisors (see below), whose sum is σ = 14876237629440. Its totient is φ = 6668654896800.

The previous prime is 10022212220149. The next prime is 10022212220221. The reversal of 10022212220211 is 11202221222001.

It is a happy number.

10022212220211 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 212 + 220 + 211 = 666.

It is not a de Polignac number, because 10022212220211 - 26 = 10022212220147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022212220221) 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 31 ways as a sum of consecutive naturals, for example, 29583166 + ... + 29920028.

It is an arithmetic number, because the mean of its divisors is an integer number (464882425920).

Almost surely, 210022212220211 is an apocalyptic number.

10022212220211 is a deficient number, since it is larger than the sum of its proper divisors (4854025409229).

10022212220211 is a wasteful number, since it uses less digits than its factorization.

10022212220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338984 (or 338978 counting only the distinct ones).

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

Adding to 10022212220211 its reverse (11202221222001), we get a palindrome (21224433442212).

The spelling of 10022212220211 in words is "ten trillion, twenty-two billion, two hundred twelve million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 3 9 27 941 1171 2823 3513 8469 10539 25407 31617 336863 1010589 1101911 3031767 3305733 9095301 9917199 29751597 316988083 394466573 950964249 1183399719 2852892747 3550199157 8558678241 10650597471 371193045193 1113579135579 3340737406737 10022212220211