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211131223223 = 17233731447661
BaseRepresentation
bin1100010010100001100…
…1101100110010110111
3202011222002122102011012
43010220121230302313
511424344043120343
6240554202502435
721153012533564
oct3045031546267
9664862572135
10211131223223
11815a4086a38
1234b03504a1b
1316ba949ccab
14a30c58d86b
15575a7d4718
hex312866ccb7

211131223223 has 16 divisors (see below), whose sum is σ = 233895854016. Its totient is φ = 189562391040.

The previous prime is 211131223211. The next prime is 211131223241. The reversal of 211131223223 is 322322131112.

211131223223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211131223223 - 210 = 211131222199 is a prime.

It is a super-3 number, since 3×2111312232233 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131223123) 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 in 15 ways as a sum of consecutive naturals, for example, 577988 + ... + 869673.

It is an arithmetic number, because the mean of its divisors is an integer number (14618490876).

Almost surely, 2211131223223 is an apocalyptic number.

211131223223 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

211131223223 is a deficient number, since it is larger than the sum of its proper divisors (22764630793).

211131223223 is a wasteful number, since it uses less digits than its factorization.

211131223223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448074.

The product of its digits is 864, while the sum is 23.

Adding to 211131223223 its reverse (322322131112), we get a palindrome (533453354335).

The spelling of 211131223223 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 17 23 373 391 6341 8579 145843 1447661 24610237 33296203 539977553 566035451 9179618401 12419483719 211131223223