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222210101011122 = 2327233713178720101
BaseRepresentation
bin110010100001100101010010…
…001000101110001010110010
31002010210002010000001122000200
4302201211102020232022302
5213111142241324323442
62104333524450300030
764543102311066510
oct6241452210561262
91063702100048020
10222210101011122
1164891858019544
1220b09981287616
1396cb426a1c3b3
143cc305214b4b0
151aa52dc03934c
hexca195222e2b2

222210101011122 has 384 divisors, whose sum is σ = 594961481207808. Its totient is φ = 58558458816000.

The previous prime is 222210101011117. The next prime is 222210101011133. The reversal of 222210101011122 is 221110101012222.

222210101011122 is a `hidden beast` number, since 222 + 210 + 10 + 101 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222210101011095 and 222210101011104.

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, 11054668872 + ... + 11054688972.

It is an arithmetic number, because the mean of its divisors is an integer number (1549378857312).

Almost surely, 2222210101011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222210101011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297480740603904).

222210101011122 is an abundant number, since it is smaller than the sum of its proper divisors (372751380196686).

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

222210101011122 is a wasteful number, since it uses less digits than its factorization.

222210101011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21094 (or 21091 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222210101011122 its reverse (221110101012222), we get a palindrome (443320202023344).

The spelling of 222210101011122 in words is "two hundred twenty-two trillion, two hundred ten billion, one hundred one million, eleven thousand, one hundred twenty-two".