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112012102102122 = 23233289186935461
BaseRepresentation
bin11001011101111111011001…
…100011100110110001101010
3112200121020210222122010012200
4121131333121203212301222
5104140201241114231442
61034121352130521030
732410415211300315
oct3135773143466152
9480536728563180
10112012102102122
113276607a53a472
1210690842436176
134a66907b988b1
141d935b3bc997c
15ce3a59dcd34c
hex65dfd98e6c6a

112012102102122 has 24 divisors (see below), whose sum is σ = 242700179669220. Its totient is φ = 37336245554880.

The previous prime is 112012102102111. The next prime is 112012102102123. The reversal of 112012102102122 is 221201201210211.

112012102102122 is a `hidden beast` number, since 1 + 1 + 201 + 210 + 210 + 21 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75565658508201 + 36446443593921 = 8692851^2 + 6037089^2 .

It is a super-2 number, since 2×1120121021021222 (a number of 29 digits) contains 22 as substring.

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 = 112012102102095 and 112012102102104.

It is not an unprimeable number, because it can be changed into a prime (112012102102123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92868529 + ... + 94066932.

Almost surely, 2112012102102122 is an apocalyptic number.

112012102102122 is an abundant number, since it is smaller than the sum of its proper divisors (130688077567098).

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

112012102102122 is a wasteful number, since it uses less digits than its factorization.

112012102102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186968758 (or 186968755 counting only the distinct ones).

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

Adding to 112012102102122 its reverse (221201201210211), we get a palindrome (333213303312333).

The spelling of 112012102102122 in words is "one hundred twelve trillion, twelve billion, one hundred two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 33289 66578 99867 199734 299601 599202 186935461 373870922 560806383 1121612766 1682419149 3364838298 6222894561229 12445789122458 18668683683687 37337367367374 56006051051061 112012102102122