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223233220112121 = 32117373211323653
BaseRepresentation
bin110010110000011110001000…
…110010010110111011111001
31002021101212221221011001221200
4302300132020302112323321
5213224423113322041441
62110435531531324413
765010032204003412
oct6260361062267371
91067355857131850
10223233220112121
116514674a09117a
12210541158b0709
139773a57947a4b
143d1a78cc06809
151ac1c1d2897b6
hexcb0788c96ef9

223233220112121 has 12 divisors (see below), whose sum is σ = 322450733339748. Its totient is φ = 148820878095264.

The previous prime is 223233220112081. The next prime is 223233220112141. The reversal of 223233220112121 is 121211022332322.

223233220112121 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 332 + 201 + 1 + 2 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134620442786025 + 88612777326096 = 11602605^2 + 9413436^2 .

It is not a de Polignac number, because 223233220112121 - 214 = 223233220095737 is a prime.

It is a super-3 number, since 3×2232332201121213 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223233220112141) 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, 104605470 + ... + 106718183.

It is an arithmetic number, because the mean of its divisors is an integer number (26870894444979).

Almost surely, 2223233220112121 is an apocalyptic number.

It is an amenable number.

223233220112121 is a deficient number, since it is larger than the sum of its proper divisors (99217513227627).

223233220112121 is a wasteful number, since it uses less digits than its factorization.

223233220112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211441032 (or 211441029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 223233220112121 its reverse (121211022332322), we get a palindrome (344444242444443).

The spelling of 223233220112121 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 117373 352119 1056357 211323653 633970959 1901912877 24803691123569 74411073370707 223233220112121