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21122222131 is a prime number
BaseRepresentation
bin10011101010111110…
…111000100000110011
32000112001012001121101
4103222332320200303
5321224242102011
613411534305231
71345266632353
oct235276704063
960461161541
1021122222131
118a59a4212a
124115958217
131cb80392ba
14104536ab63
158395412c1
hex4eafb8833

21122222131 has 2 divisors, whose sum is σ = 21122222132. Its totient is φ = 21122222130.

The previous prime is 21122222111. The next prime is 21122222141. The reversal of 21122222131 is 13122222112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21122222131 - 217 = 21122091059 is a prime.

It is a super-2 number, since 2×211222221312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122222099 and 21122222108.

It is not a weakly prime, because it can be changed into another prime (21122222111) 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, 10561111065 + 10561111066.

It is an arithmetic number, because the mean of its divisors is an integer number (10561111066).

Almost surely, 221122222131 is an apocalyptic number.

21122222131 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122222131 is an equidigital number, since it uses as much as digits as its factorization.

21122222131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 19.

Subtracting from 21122222131 its sum of digits (19), we obtain a palindrome (21122222112).

Adding to 21122222131 its reverse (13122222112), we get a palindrome (34244444243).

It can be divided in two parts, 21122 and 222131, that added together give a triangular number (243253 = T697).

The spelling of 21122222131 in words is "twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-one".