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21211211101181 is a prime number
BaseRepresentation
bin1001101001010100111101…
…01100111111001111111101
32210002202211202211120020212
410310222132230333033331
510240011030020214211
6113040143523322205
74316313404352053
oct464523654771775
983082752746225
1021211211101181
116838695767402
122466a5b820365
13bab29346920a
145348b16c81d3
1526bb43e0e38b
hex134a9eb3f3fd

21211211101181 has 2 divisors, whose sum is σ = 21211211101182. Its totient is φ = 21211211101180.

The previous prime is 21211211101081. The next prime is 21211211101189. The reversal of 21211211101181 is 18110111211212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17289246745156 + 3921964356025 = 4158034^2 + 1980395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21211211101181 is a prime.

It is a super-2 number, since 2×212112111011812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21211211101189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605605550590 + 10605605550591.

It is an arithmetic number, because the mean of its divisors is an integer number (10605605550591).

Almost surely, 221211211101181 is an apocalyptic number.

It is an amenable number.

21211211101181 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211211101181 is an equidigital number, since it uses as much as digits as its factorization.

21211211101181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 23.

Adding to 21211211101181 its reverse (18110111211212), we get a palindrome (39321322312393).

The spelling of 21211211101181 in words is "twenty-one trillion, two hundred eleven billion, two hundred eleven million, one hundred one thousand, one hundred eighty-one".