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222102102011112 = 23325952283922319
BaseRepresentation
bin110010100000000000101100…
…111001001110110011101000
31002010101202100100212222121100
4302200000230321032303220
5213102410101103323422
62104212144101041400
764532230064534331
oct6240005471166350
91063352310788540
10222102102011112
116484aa77439334
1220ab0a606b6260
1396c11a4c59a6b
143cbbb28a03288
151aa25ba9507ac
hexca002ce4ece8

222102102011112 has 48 divisors (see below), whose sum is σ = 611721891144000. Its totient is φ = 72779219866656.

The previous prime is 222102102011077. The next prime is 222102102011117. The reversal of 222102102011112 is 211110201201222.

222102102011112 is a `hidden beast` number, since 22 + 210 + 210 + 201 + 11 + 12 = 666.

It is a super-3 number, since 3×2221021020111123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (222102102011117) 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, 26141956912 + ... + 26141965407.

It is an arithmetic number, because the mean of its divisors is an integer number (12744206065500).

Almost surely, 2222102102011112 is an apocalyptic number.

It is an amenable number.

222102102011112 is an abundant number, since it is smaller than the sum of its proper divisors (389619789132888).

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

222102102011112 is a wasteful number, since it uses less digits than its factorization.

222102102011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52283922390 (or 52283922383 counting only the distinct ones).

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

Adding to 222102102011112 its reverse (211110201201222), we get a palindrome (433212303212334).

The spelling of 222102102011112 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 52283922319 104567844638 156851766957 209135689276 313703533914 418271378552 470555300871 627407067828 941110601742 1254814135656 1882221203484 3084751416821 3764442406968 6169502833642 9254254250463 12339005667284 18508508500926 24678011334568 27762762751389 37017017001852 55525525502778 74034034003704 111051051005556 222102102011112