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211222212111222 = 231323670711440207
BaseRepresentation
bin110000000001101100000000…
…111010111110101101110110
31000200212122110010120120202020
4300001230000322332231312
5210141131042300024342
62025122051125454010
762330205215342664
oct6001540072765566
91020778403516666
10211222212111222
1161335923204374
121b834343571306
1390b222778bb80
143a232d1273c34
151964593c490ec
hexc01b00ebeb76

211222212111222 has 32 divisors (see below), whose sum is σ = 454942110884352. Its totient is φ = 64991169634464.

The previous prime is 211222212111221. The next prime is 211222212111247. The reversal of 211222212111222 is 222111212222112.

It is a super-2 number, since 2×2112222121112222 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211222212111192 and 211222212111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222212111221) 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 15 ways as a sum of consecutive naturals, for example, 12743043 + ... + 24183249.

It is an arithmetic number, because the mean of its divisors is an integer number (14216940965136).

Almost surely, 2211222212111222 is an apocalyptic number.

211222212111222 is an abundant number, since it is smaller than the sum of its proper divisors (243719898773130).

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

211222212111222 is a wasteful number, since it uses less digits than its factorization.

211222212111222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676932.

The product of its digits is 512, while the sum is 24.

Adding to 211222212111222 its reverse (222111212222112), we get a palindrome (433333424333334).

The spelling of 211222212111222 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 236707 473414 710121 1420242 3077191 6154382 9231573 11440207 18463146 22880414 34320621 68641242 148722691 297445382 446168073 892336146 2707977078349 5415954156698 8123931235047 16247862470094 35203702018537 70407404037074 105611106055611 211222212111222