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211221220110010 = 25111767731011371669
BaseRepresentation
bin110000000001101011000101…
…110010110010111010111010
31000200212112212222221200220121
4300001223011302302322322
5210141122024322010020
62025121404451443454
762330141511435115
oct6001530562627272
91020775788850817
10211221220110010
1161335464254160
121b8341072b658a
1390b20ca0c26c6
143a2323960957c
151964536ae7baa
hexc01ac5cb2eba

211221220110010 has 512 divisors, whose sum is σ = 459899161758720. Its totient is φ = 68990828544000.

The previous prime is 211221220109987. The next prime is 211221220110011. The reversal of 211221220110010 is 10011022122112.

It is a super-2 number, since 2×2112212201100102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221220110011) 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 255 ways as a sum of consecutive naturals, for example, 126555553456 + ... + 126555555124.

It is an arithmetic number, because the mean of its divisors is an integer number (898240550310).

Almost surely, 2211221220110010 is an apocalyptic number.

211221220110010 is an abundant number, since it is smaller than the sum of its proper divisors (248677941648710).

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

211221220110010 is a wasteful number, since it uses less digits than its factorization.

211221220110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211221220110010 its reverse (10011022122112), we get a palindrome (221232242232122).

It can be divided in two parts, 2112212 and 20110010, that added together give a palindrome (22222222).

The spelling of 211221220110010 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, ten".