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211323331332 = 223217345299561
BaseRepresentation
bin1100010011001111011…
…0100010001100000100
3202012110111010111221100
43010303312202030010
511430242233100312
6241025224220100
721160534451541
oct3046366421404
9665414114840
10211323331332
1181692569673
1234b5790a630
1316c0a223129
14a329cb9bc8
15576c5d05dc
hex3133da2304

211323331332 has 36 divisors (see below), whose sum is σ = 565600682556. Its totient is φ = 66297515520.

The previous prime is 211323331279. The next prime is 211323331333. The reversal of 211323331332 is 233133323112.

211323331332 is a `hidden beast` number, since 2 + 1 + 1 + 323 + 3 + 3 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154114345476 + 57208985856 = 392574^2 + 239184^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211323331296 and 211323331305.

It is not an unprimeable number, because it can be changed into a prime (211323331333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172649169 + ... + 172650392.

It is an arithmetic number, because the mean of its divisors is an integer number (15711130071).

Almost surely, 2211323331332 is an apocalyptic number.

It is an amenable number.

211323331332 is an abundant number, since it is smaller than the sum of its proper divisors (354277351224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211323331332 is a wasteful number, since it uses less digits than its factorization.

211323331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345299588 (or 345299583 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 211323331332 its reverse (233133323112), we get a palindrome (444456654444).

The spelling of 211323331332 in words is "two hundred eleven billion, three hundred twenty-three million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 345299561 690599122 1035898683 1381198244 2071797366 3107696049 4143594732 5870092537 6215392098 11740185074 12430784196 17610277611 23480370148 35220555222 52830832833 70441110444 105661665666 211323331332