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322131112020 = 223252961710941
BaseRepresentation
bin1001011000000001000…
…00101011000001010100
31010210110212112000002200
410230000200223001110
520234211031041040
6403552431404500
732162465162664
oct4540040530124
91123425460080
10322131112020
11114684684323
1252521083730
13244b8b98573
141183c4921a4
1585a558a630
hex4b0082b054

322131112020 has 72 divisors (see below), whose sum is σ = 1010825229960. Its totient is φ = 82939503360.

The previous prime is 322131112013. The next prime is 322131112021. The reversal of 322131112020 is 20211131223.

322131112020 is a `hidden beast` number, since 322 + 1 + 311 + 12 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96663784464 + 225467327556 = 310908^2 + 474834^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 322131111984 and 322131112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322131112021) 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, 30850251 + ... + 30860690.

It is an arithmetic number, because the mean of its divisors is an integer number (14039239305).

Almost surely, 2322131112020 is an apocalyptic number.

322131112020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322131112020 is an abundant number, since it is smaller than the sum of its proper divisors (688694117940).

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

322131112020 is a wasteful number, since it uses less digits than its factorization.

322131112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61710985 (or 61710980 counting only the distinct ones).

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

Adding to 322131112020 its reverse (20211131223), we get a palindrome (342342243243).

The spelling of 322131112020 in words is "three hundred twenty-two billion, one hundred thirty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 61710941 123421882 185132823 246843764 308554705 370265646 555398469 617109410 740531292 925664115 1110796938 1234218820 1789617289 1851328230 2221593876 2776992345 3579234578 3702656460 5368851867 5553984690 7158469156 8948086445 10737703734 11107969380 16106555601 17896172890 21475407468 26844259335 32213111202 35792345780 53688518670 64426222404 80532778005 107377037340 161065556010 322131112020