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211222110231 = 321117911919311
BaseRepresentation
bin1100010010110111010…
…0011010000000010111
3202012012102122221200200
43010231310122000113
511430040330011411
6241011210511543
721155165212356
oct3045564320027
9665172587620
10211222110231
1181640413770
1234b29a355b3
1316bc22728a2
14a31a68b99d
155763788e56
hex312dd1a017

211222110231 has 24 divisors (see below), whose sum is σ = 334694280960. Its totient is φ = 127298230800.

The previous prime is 211222110223. The next prime is 211222110233. The reversal of 211222110231 is 132011222112.

211222110231 is a `hidden beast` number, since 211 + 2 + 221 + 1 + 0 + 231 = 666.

It is not a de Polignac number, because 211222110231 - 23 = 211222110223 is a prime.

It is a super-2 number, since 2×2112221102312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222110233) 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 23 ways as a sum of consecutive naturals, for example, 5941935 + ... + 5977376.

It is an arithmetic number, because the mean of its divisors is an integer number (13945595040).

Almost surely, 2211222110231 is an apocalyptic number.

211222110231 is a deficient number, since it is larger than the sum of its proper divisors (123472170729).

211222110231 is a wasteful number, since it uses less digits than its factorization.

211222110231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919507 (or 11919504 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211222110231 its reverse (132011222112), we get a palindrome (343233332343).

The spelling of 211222110231 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 179 537 1611 1969 5907 17721 11919311 35757933 107273799 131112421 393337263 1180011789 2133556669 6400670007 19202010021 23469123359 70407370077 211222110231