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320211033012 = 2232135312909653
BaseRepresentation
bin1001010100011100001…
…00001001101110110100
31010121112001112212212100
410222032010021232310
520221243011024022
6403034121422100
732064061605003
oct4521604115664
91117461485770
10320211033012
11113889864572
125208603a930
1324271154640
14116d947cc3a
1584e1c131ac
hex4a8e109bb4

320211033012 has 72 divisors (see below), whose sum is σ = 888132556584. Its totient is φ = 96667474176.

The previous prime is 320211033001. The next prime is 320211033013. The reversal of 320211033012 is 210330112023.

320211033012 is a `hidden beast` number, since 320 + 2 + 1 + 1 + 0 + 330 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134136132516 + 186074900496 = 366246^2 + 431364^2 .

It is a super-2 number, since 2×3202110330122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320211033013) 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, 6430023 + ... + 6479630.

It is an arithmetic number, because the mean of its divisors is an integer number (12335174397).

Almost surely, 2320211033012 is an apocalyptic number.

It is an amenable number.

320211033012 is an abundant number, since it is smaller than the sum of its proper divisors (567921523572).

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

320211033012 is a wasteful number, since it uses less digits than its factorization.

320211033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909729 (or 12909724 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320211033012 its reverse (210330112023), we get a palindrome (530541145035).

The spelling of 320211033012 in words is "three hundred twenty billion, two hundred eleven million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6201 8268 12402 24804 12909653 25819306 38728959 51638612 77457918 116186877 154915836 167825489 232373754 335650978 464747508 503476467 671301956 684211609 1006952934 1368423218 1510429401 2013905868 2052634827 2736846436 3020858802 4105269654 6041717604 6157904481 8210539308 8894750917 12315808962 17789501834 24631617924 26684252751 35579003668 53368505502 80052758253 106737011004 160105516506 320211033012