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110211022122112 = 2722320149191627
BaseRepresentation
bin11001000011110010000000…
…110100101110110010000000
3112110020001220121220021200101
4121003302000310232302000
5103421144133130401422
61030222124500132144
732133324604124422
oct3103620064566200
9473201817807611
10110211022122112
113213126087991a
121043b774397054
134965b15c92282
141d30355c10812
15cb1c95645c27
hex643c80d2ec80

110211022122112 has 64 divisors (see below), whose sum is σ = 220557695904000. Its totient is φ = 54855392246784.

The previous prime is 110211022122079. The next prime is 110211022122139. The reversal of 110211022122112 is 211221220112011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 110211022122112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575037243 + ... + 575228869.

It is an arithmetic number, because the mean of its divisors is an integer number (3446213998500).

Almost surely, 2110211022122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110211022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110278847952000).

110211022122112 is an abundant number, since it is smaller than the sum of its proper divisors (110346673781888).

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

110211022122112 is a wasteful number, since it uses less digits than its factorization.

110211022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212013 (or 212001 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 110211022122112 its reverse (211221220112011), we get a palindrome (321432242234123).

The spelling of 110211022122112 in words is "one hundred ten trillion, two hundred eleven billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 223 446 892 1784 3568 7136 14272 20149 28544 40298 80596 161192 191627 322384 383254 644768 766508 1289536 1533016 2579072 3066032 4493227 6132064 8986454 12264128 17972908 24528256 35945816 42732821 71891632 85465642 143783264 170931284 287566528 341862568 575133056 683725136 1367450272 2734900544 3861092423 5469801088 7722184846 15444369692 30888739384 61777478768 123554957536 247109915072 494219830144 861023610329 1722047220658 3444094441316 6888188882632 13776377765264 27552755530528 55105511061056 110211022122112