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2122212221010 = 23357210911091327
BaseRepresentation
bin11110111000011101101…
…101001010000001010010
321111212210121200221012000
4132320131231022001102
5234232242312033020
64302533021014430
7306216253146300
oct36703555120122
97455717627160
102122212221010
11749030522332
122a33706b4416
1312517bb6b84b
1474a03935270
153a30c2b6090
hex1ee1db4a052

2122212221010 has 384 divisors, whose sum is σ = 6654586752000. Its totient is φ = 479831579136.

The previous prime is 2122212221009. The next prime is 2122212221081. The reversal of 2122212221010 is 101222122212.

It is a happy number.

2122212221010 is a `hidden beast` number, since 212 + 221 + 2 + 221 + 0 + 10 = 666.

It is a super-2 number, since 2×21222122210102 (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1599254967 + ... + 1599256293.

It is an arithmetic number, because the mean of its divisors is an integer number (17329653000).

Almost surely, 22122212221010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122212221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327293376000).

2122212221010 is an abundant number, since it is smaller than the sum of its proper divisors (4532374530990).

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

2122212221010 is a wasteful number, since it uses less digits than its factorization.

2122212221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2562 counting only the distinct ones).

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

Adding to 2122212221010 its reverse (101222122212), we get a palindrome (2223434343222).

The spelling of 2122212221010 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, ten".