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11020314321 = 3237187317669
BaseRepresentation
bin10100100001101110…
…01010011011010001
31001110000122222020200
422100313022123101
5140032200024241
65021311325413
7540044061162
oct122067123321
931400588220
1011020314321
114745753295
122176820869
1310681bab63
1476787b769
154477534b6
hex290dca6d1

11020314321 has 24 divisors (see below), whose sum is σ = 16358108520. Its totient is φ = 7144091136.

The previous prime is 11020314307. The next prime is 11020314353. The reversal of 11020314321 is 12341302011.

11020314321 is a `hidden beast` number, since 1 + 10 + 20 + 314 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 237776400 + 10782537921 = 15420^2 + 103839^2 .

It is not a de Polignac number, because 11020314321 - 211 = 11020312273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11020314294 and 11020314303.

It is not an unprimeable number, because it can be changed into a prime (11020314391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614875 + ... + 632543.

It is an arithmetic number, because the mean of its divisors is an integer number (681587855).

Almost surely, 211020314321 is an apocalyptic number.

It is an amenable number.

11020314321 is a deficient number, since it is larger than the sum of its proper divisors (5337794199).

11020314321 is a wasteful number, since it uses less digits than its factorization.

11020314321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19585 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11020314321 its reverse (12341302011), we get a palindrome (23361616332).

The spelling of 11020314321 in words is "eleven billion, twenty million, three hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 37 111 333 1873 5619 16857 17669 53007 69301 159021 207903 623709 653753 1961259 5883777 33094037 99282111 297846333 1224479369 3673438107 11020314321