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211121322231121 = 17101281122618273
BaseRepresentation
bin110000000000001110000011…
…011010101000010101010001
31000200112000000221110122111021
4300000032003122220111101
5210133002431442343441
62025003444013315441
762320004114454601
oct6000160332502521
91020460027418437
10211121322231121
11612a7060529175
121b818887795b81
1390a58697ba073
143a1c47dd6cc01
151961b3b8313d1
hexc003836a8551

211121322231121 has 8 divisors (see below), whose sum is σ = 223542432490824. Its totient is φ = 198700457410560.

The previous prime is 211121322231109. The next prime is 211121322231173. The reversal of 211121322231121 is 121132223121112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63091249000000 + 148030073231121 = 7943000^2 + 12166761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211121322231121 - 225 = 211121288676689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211121322231821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59587360 + ... + 63030913.

It is an arithmetic number, because the mean of its divisors is an integer number (27942804061353).

Almost surely, 2211121322231121 is an apocalyptic number.

It is an amenable number.

211121322231121 is a deficient number, since it is larger than the sum of its proper divisors (12421110259703).

211121322231121 is a wasteful number, since it uses less digits than its factorization.

211121322231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122719571.

The product of its digits is 576, while the sum is 25.

Adding to 211121322231121 its reverse (121132223121112), we get a palindrome (332253545352233).

The spelling of 211121322231121 in words is "two hundred eleven trillion, one hundred twenty-one billion, three hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 17 101281 1721777 122618273 2084510641 12418901307713 211121322231121