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1011132320220 = 22325113116473319
BaseRepresentation
bin11101011011011000010…
…11101100100111011100
310120122220112211212221100
432231230023230213130
5113031244333221340
62052301402433100
7133023541625061
oct16555413544734
93518815755840
101011132320220
1135a90091a940
12143b6a202790
1374470741a79
1436d20b1cc68
151b47dc41830
hexeb6c2ec9dc

1011132320220 has 144 divisors (see below), whose sum is σ = 3453862164480. Its totient is φ = 237215779200.

The previous prime is 1011132320207. The next prime is 1011132320249. The reversal of 1011132320220 is 220232311101.

1011132320220 is a `hidden beast` number, since 10 + 1 + 113 + 2 + 320 + 220 = 666.

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 = 1011132320193 and 1011132320202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8175280 + ... + 8298039.

It is an arithmetic number, because the mean of its divisors is an integer number (23985153920).

Almost surely, 21011132320220 is an apocalyptic number.

1011132320220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011132320220 is an abundant number, since it is smaller than the sum of its proper divisors (2442729844260).

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

1011132320220 is a wasteful number, since it uses less digits than its factorization.

1011132320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16473376 (or 16473371 counting only the distinct ones).

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

Adding to 1011132320220 its reverse (220232311101), we get a palindrome (1231364631321).

The spelling of 1011132320220 in words is "one trillion, eleven billion, one hundred thirty-two million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 16473319 32946638 49419957 65893276 82366595 98839914 148259871 164733190 181206509 197679828 247099785 296519742 329466380 362413018 494199570 510672889 543619527 593039484 724826036 741299355 906032545 988399140 1021345778 1087239054 1482598710 1532018667 1630858581 1812065090 2042691556 2174478108 2553364445 2718097635 2965197420 3064037334 3261717162 3624130180 4596056001 5106728890 5436195270 5617401779 6128074668 6523434324 7660093335 8154292905 9192112002 10213457780 10872390540 11234803558 15320186670 16308585810 16852205337 18384224004 22469607116 22980280005 28087008895 30640373340 32617171620 33704410674 45960560010 50556616011 56174017790 67408821348 84261026685 91921120020 101113232022 112348035580 168522053370 202226464044 252783080055 337044106740 505566160110 1011132320220