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320213112021 = 3211172937177319
BaseRepresentation
bin1001010100011100011…
…00000101010011010101
31010121112012110111201200
410222032030011103111
520221244024041041
6403034234143113
732064115354155
oct4521614052325
91117465414650
10320213112021
1111388aa54560
1252086881a99
1324271701a1a
14116d9860765
1584e1ec41b6
hex4a8e3054d5

320213112021 has 96 divisors (see below), whose sum is σ = 567622598400. Its totient is φ = 171587082240.

The previous prime is 320213112007. The next prime is 320213112041. The reversal of 320213112021 is 120211312023.

320213112021 is a `hidden beast` number, since 320 + 213 + 112 + 0 + 21 = 666.

It is not a de Polignac number, because 320213112021 - 29 = 320213111509 is a prime.

It is a super-2 number, since 2×3202131120212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320213111985 and 320213112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320213112041) 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 95 ways as a sum of consecutive naturals, for example, 1717200 + ... + 1894518.

It is an arithmetic number, because the mean of its divisors is an integer number (5912735400).

Almost surely, 2320213112021 is an apocalyptic number.

It is an amenable number.

320213112021 is a deficient number, since it is larger than the sum of its proper divisors (247409486379).

320213112021 is a wasteful number, since it uses less digits than its factorization.

320213112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177419 (or 177416 counting only the distinct ones).

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

Adding to 320213112021 its reverse (120211312023), we get a palindrome (440424424044).

It can be divided in two parts, 320213 and 112021, that added together give a palindrome (432234).

The spelling of 320213112021 in words is "three hundred twenty billion, two hundred thirteen million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 9 11 17 29 33 37 51 87 99 111 153 187 261 319 333 407 493 561 629 957 1073 1221 1479 1683 1887 2871 3219 3663 4437 5423 5661 6919 9657 11803 16269 18241 20757 35409 48807 54723 62271 106227 164169 177319 200651 531957 601953 1595871 1805859 1950509 3014423 5142251 5851527 6560803 9043269 15426753 17554581 19682409 27129807 33158653 46280259 56564761 59047227 72168833 87418267 99475959 111533651 169694283 190263287 216506499 262254801 298427877 334600953 509082849 570789861 649519497 786764403 961600937 1003802859 1226870161 1712369583 2092896157 2884802811 3234475879 3680610483 6278688471 8654408433 9703427637 11041831449 18836065413 29110282911 35579234669 106737704007 320213112021