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213212211127 is a prime number
BaseRepresentation
bin1100011010010001110…
…0000010011110110111
3202101100010101112220021
43012210130002132313
511443124311224002
6241540501350011
721255411614656
oct3064434023667
9671303345807
10213212211127
1182471809a53
12353a4408307
131714b662296
14a468acb19d
15582d343737
hex31a47027b7

213212211127 has 2 divisors, whose sum is σ = 213212211128. Its totient is φ = 213212211126.

The previous prime is 213212211103. The next prime is 213212211131. The reversal of 213212211127 is 721112212312.

213212211127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213212211127 is a prime.

It is a super-2 number, since 2×2132122111272 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213212211167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606105563 + 106606105564.

It is an arithmetic number, because the mean of its divisors is an integer number (106606105564).

Almost surely, 2213212211127 is an apocalyptic number.

213212211127 is a deficient number, since it is larger than the sum of its proper divisors (1).

213212211127 is an equidigital number, since it uses as much as digits as its factorization.

213212211127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 25.

Adding to 213212211127 its reverse (721112212312), we get a palindrome (934324423439).

The spelling of 213212211127 in words is "two hundred thirteen billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-seven".