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212212303101 = 32178811574357
BaseRepresentation
bin1100010110100011010…
…1101100010011111101
3202021202102212221221200
43011220311230103331
511434102322144401
6241253342050113
721221550546141
oct3055065542375
9667672787850
10212212303101
1181aa9349287
1235165579939
131701c457c26
14a3b1da5221
1557c067e686
hex3168d6c4fd

212212303101 has 24 divisors (see below), whose sum is σ = 324928598904. Its totient is φ = 133001594880.

The previous prime is 212212303099. The next prime is 212212303103. The reversal of 212212303101 is 101303212212.

212212303101 is a `hidden beast` number, since 2 + 122 + 1 + 230 + 310 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (212212303099) and next prime (212212303103).

It can be written as a sum of positive squares in 4 ways, for example, as 1173131001 + 211039172100 = 34251^2 + 459390^2 .

It is not a de Polignac number, because 212212303101 - 21 = 212212303099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212303103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652386 + ... + 921971.

It is an arithmetic number, because the mean of its divisors is an integer number (13538691621).

Almost surely, 2212212303101 is an apocalyptic number.

It is an amenable number.

212212303101 is a deficient number, since it is larger than the sum of its proper divisors (112716295803).

212212303101 is a wasteful number, since it uses less digits than its factorization.

212212303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575261 (or 1575258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212212303101 its reverse (101303212212), we get a palindrome (313515515313).

The spelling of 212212303101 in words is "two hundred twelve billion, two hundred twelve million, three hundred three thousand, one hundred one".

Divisors: 1 3 9 17 51 153 881 2643 7929 14977 44931 134793 1574357 4723071 14169213 26764069 80292207 240876621 1387008517 4161025551 12483076653 23579144789 70737434367 212212303101