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311122001331 = 3239787075847
BaseRepresentation
bin1001000011100000101…
…00001111110110110011
31002202001121221020100100
410201300110033312303
520044134213020311
6354532200123443
731322615243241
oct4416024176663
91082047836310
10311122001331
1110aa45293539
125036a166583
132345310109b
14110b62cd791
15815dceba56
hex487050fdb3

311122001331 has 12 divisors (see below), whose sum is σ = 450530437552. Its totient is φ = 206892210096.

The previous prime is 311122001329. The next prime is 311122001353. The reversal of 311122001331 is 133100221113.

311122001331 is a `hidden beast` number, since 3 + 111 + 220 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 311122001331 - 21 = 311122001329 is a prime.

It is a super-2 number, since 2×3111220013312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311122001381) 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 11 ways as a sum of consecutive naturals, for example, 43534351 + ... + 43541496.

Almost surely, 2311122001331 is an apocalyptic number.

311122001331 is a deficient number, since it is larger than the sum of its proper divisors (139408436221).

311122001331 is a wasteful number, since it uses less digits than its factorization.

311122001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87076250 (or 87076247 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311122001331 its reverse (133100221113), we get a palindrome (444222222444).

The spelling of 311122001331 in words is "three hundred eleven billion, one hundred twenty-two million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 397 1191 3573 87075847 261227541 783682623 34569111259 103707333777 311122001331