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20202230310320 = 24531109433172597
BaseRepresentation
bin1001001011111101100101…
…10000101110010110110000
32122112022111011110200202002
410211332302300232112300
510121443131424412240
6110544435415313132
74153364046215222
oct445766260562660
978468434420662
1020202230310320
116489799380403
1223233b207b7a8
13b370a66b7856
144dbb1662a412
1525078e012d15
hex125fb2c2e5b0

20202230310320 has 160 divisors (see below), whose sum is σ = 49043459351040. Its totient is φ = 7730533416960.

The previous prime is 20202230310313. The next prime is 20202230310371. The reversal of 20202230310320 is 2301303220202.

It is a super-2 number, since 2×202022303103202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20202230310292 and 20202230310301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116962262 + ... + 117134858.

It is an arithmetic number, because the mean of its divisors is an integer number (306521620944).

Almost surely, 220202230310320 is an apocalyptic number.

20202230310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202230310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24521729675520).

20202230310320 is an abundant number, since it is smaller than the sum of its proper divisors (28841229040720).

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

20202230310320 is a wasteful number, since it uses less digits than its factorization.

20202230310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173183 (or 173177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20202230310320 its reverse (2301303220202), we get a palindrome (22503533530522).

The spelling of 20202230310320 in words is "twenty trillion, two hundred two billion, two hundred thirty million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 109 124 155 218 248 310 433 436 496 545 620 866 872 1090 1240 1732 1744 2165 2180 2480 3379 3464 4330 4360 6758 6928 8660 8720 13423 13516 16895 17320 26846 27032 33790 34640 47197 53692 54064 67115 67580 94394 107384 134230 135160 172597 188788 214768 235985 268460 270320 345194 377576 471970 536920 690388 755152 862985 943940 1073840 1380776 1463107 1725970 1887880 2761552 2926214 3451940 3775760 5350507 5852428 6903880 7315535 10701014 11704856 13807760 14631070 18813073 21402028 23409712 26752535 29262140 37626146 42804056 53505070 58524280 74734501 75252292 85608112 94065365 107010140 117048560 149469002 150504584 188130730 214020280 298938004 301009168 373672505 376261460 428040560 583205263 597876008 747345010 752522920 1166410526 1195752016 1494690020 1505045840 2316769531 2332821052 2916026315 2989380040 4633539062 4665642104 5832052630 5978760080 8146060609 9267078124 9331284208 11583847655 11664105260 16292121218 18534156248 23167695310 23328210520 32584242436 37068312496 40730303045 46335390620 46656421040 65168484872 81460606090 92670781240 130336969744 162921212180 185341562480 252527878879 325842424360 505055757758 651684848720 1010111515516 1262639394395 2020223031032 2525278788790 4040446062064 5050557577580 10101115155160 20202230310320