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1020020233320 = 233351185860289
BaseRepresentation
bin11101101011111011111…
…00011001010001101000
310121111211222000122122000
432311331330121101220
5113203000134431240
62100331341331000
7133460023633134
oct16657574312150
93544758018560
101020020233320
11363651914570
1214582a866a60
1375258c08b4a
14375252b83c4
151b7ee17c430
hexed7df19468

1020020233320 has 128 divisors (see below), whose sum is σ = 3709164528000. Its totient is φ = 247277629440.

The previous prime is 1020020233291. The next prime is 1020020233321. The reversal of 1020020233320 is 233320200201.

It is a happy number.

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 = 1020020233293 and 1020020233302.

It is not an unprimeable number, because it can be changed into a prime (1020020233321) by changing a digit.

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, 42918265 + ... + 42942024.

It is an arithmetic number, because the mean of its divisors is an integer number (28977847875).

Almost surely, 21020020233320 is an apocalyptic number.

1020020233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020020233320 is an abundant number, since it is smaller than the sum of its proper divisors (2689144294680).

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

1020020233320 is a wasteful number, since it uses less digits than its factorization.

1020020233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85860320 (or 85860310 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1020020233320 its reverse (233320200201), we get a palindrome (1253340433521).

The spelling of 1020020233320 in words is "one trillion, twenty billion, twenty million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 85860289 171720578 257580867 343441156 429301445 515161734 686882312 772742601 858602890 944463179 1030323468 1287904335 1545485202 1717205780 1888926358 2060646936 2318227803 2575808670 2833389537 3090970404 3434411560 3777852716 3863713005 4636455606 4722315895 5151617340 5666779074 6181940808 7555705432 7727426010 8500168611 9272911212 9444631790 10303234680 11333558148 11591139015 14166947685 15454852020 17000337222 18545822424 18889263580 22667116296 23182278030 25500505833 28333895370 30909704040 34000674444 37778527160 42500843055 46364556060 51001011666 56667790740 68001348888 85001686110 92729112120 102002023332 113335581480 127502529165 170003372220 204004046664 255005058330 340006744440 510010116660 1020020233320