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1322220220230 = 235713743651857
BaseRepresentation
bin10011001111011010011…
…101110110111101000110
311200101212210121121001210
4103033122131312331012
5133130401334021410
62451230344032250
7164345564301510
oct23173235667506
94611783547053
101322220220230
1146a828931568
12194308a62686
13978b9763150
1447dd2692bb0
15245d9a54220
hex133da776f46

1322220220230 has 128 divisors (see below), whose sum is σ = 3910897686528. Its totient is φ = 278598039552.

The previous prime is 1322220220219. The next prime is 1322220220247. The reversal of 1322220220230 is 320220222231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1322220220197 and 1322220220206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1702462 + ... + 2354318.

It is an arithmetic number, because the mean of its divisors is an integer number (30553888176).

Almost surely, 21322220220230 is an apocalyptic number.

1322220220230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322220220230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955448843264).

1322220220230 is an abundant number, since it is smaller than the sum of its proper divisors (2588677466298).

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

1322220220230 is a wasteful number, since it uses less digits than its factorization.

1322220220230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652630.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 1322220220230 its reverse (320220222231), we get a palindrome (1642440442461).

The spelling of 1322220220230 in words is "one trillion, three hundred twenty-two billion, two hundred twenty million, two hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 743 910 1365 1486 2229 2730 3715 4458 5201 7430 9659 10402 11145 15603 19318 22290 26005 28977 31206 48295 52010 57954 67613 78015 96590 135226 144885 156030 202839 289770 338065 405678 651857 676130 1014195 1303714 1955571 2028390 3259285 3911142 4562999 6518570 8474141 9125998 9777855 13688997 16948282 19555710 22814995 25422423 27377994 42370705 45629990 50844846 59318987 68444985 84741410 118637974 127112115 136889970 177956961 254224230 296594935 355913922 484329751 593189870 889784805 968659502 1452989253 1779569610 2421648755 2905978506 3390308257 4843297510 6296286763 6780616514 7264946265 10170924771 12592573526 14529892530 16951541285 18888860289 20341849542 31481433815 33903082570 37777720578 44074007341 50854623855 62962867630 88148014682 94444301445 101709247710 132222022023 188888602890 220370036705 264444044046 440740073410 661110110115 1322220220230