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211113320121 = 32112132457779
BaseRepresentation
bin1100010010011101010…
…1011001111010111001
3202011220211221211201100
43010213111121322321
511424330002220441
6240552323042013
721152404420134
oct3044725317271
9664824854640
10211113320121
1181594a69090
1234ab9510309
1316ba5872142
14a30a04d21b
155758e49cb6
hex3127559eb9

211113320121 has 12 divisors (see below), whose sum is σ = 332663413680. Its totient is φ = 127947466680.

The previous prime is 211113320113. The next prime is 211113320147. The reversal of 211113320121 is 121023311112.

211113320121 is a `hidden beast` number, since 211 + 1 + 1 + 332 + 0 + 121 = 666.

It is not a de Polignac number, because 211113320121 - 23 = 211113320113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211113320094 and 211113320103.

It is not an unprimeable number, because it can be changed into a prime (211113320021) 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, 1066228791 + ... + 1066228988.

It is an arithmetic number, because the mean of its divisors is an integer number (27721951140).

Almost surely, 2211113320121 is an apocalyptic number.

It is an amenable number.

211113320121 is a deficient number, since it is larger than the sum of its proper divisors (121550093559).

211113320121 is a wasteful number, since it uses less digits than its factorization.

211113320121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132457796 (or 2132457793 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211113320121 its reverse (121023311112), we get a palindrome (332136631233).

Subtracting from 211113320121 its reverse (121023311112), we obtain a palindrome (90090009009).

The spelling of 211113320121 in words is "two hundred eleven billion, one hundred thirteen million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 2132457779 6397373337 19192120011 23457035569 70371106707 211113320121