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2131334467020 = 22325117297147517
BaseRepresentation
bin11111000000111101011…
…011110000110111001100
321112202100100211001012100
4133000331123300313030
5234404433110421040
64311042130235100
7306661312024563
oct37007533606714
97482310731170
102131334467020
11751991819820
122a5097725a90
13125ca3a51155
147522b28cbda
153a69308db30
hex1f03d6f0dcc

2131334467020 has 144 divisors (see below), whose sum is σ = 7053793856928. Its totient is φ = 516612833280.

The previous prime is 2131334467001. The next prime is 2131334467039. The reversal of 2131334467020 is 207644331312.

2131334467020 is a `hidden beast` number, since 2 + 13 + 133 + 446 + 70 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2131334467001) and next prime (2131334467039).

It is a super-2 number, since 2×21313344670202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14374302 + ... + 14521818.

It is an arithmetic number, because the mean of its divisors is an integer number (48984679562).

Almost surely, 22131334467020 is an apocalyptic number.

2131334467020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131334467020 is an abundant number, since it is smaller than the sum of its proper divisors (4922459389908).

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

2131334467020 is a wasteful number, since it uses less digits than its factorization.

2131334467020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154840 (or 154835 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 2131334467020 its reverse (207644331312), we get a palindrome (2338978798332).

The spelling of 2131334467020 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-four million, four hundred sixty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 7297 14594 21891 29188 36485 43782 65673 72970 80267 87564 109455 131346 145940 147517 160534 218910 240801 262692 295034 321068 328365 401335 437820 442551 481602 590068 656730 722403 737585 802670 885102 963204 1204005 1313460 1327653 1444806 1475170 1605340 1622687 1770204 2212755 2408010 2655306 2889612 2950340 3245374 3612015 4425510 4816020 4868061 5310612 6490748 6638265 7224030 8113435 8851020 9736122 13276530 14448060 14604183 16226870 19472244 24340305 26553060 29208366 32453740 48680610 58416732 73020915 97361220 146041830 292083660 1076431549 2152863098 3229294647 4305726196 5382157745 6458589294 9687883941 10764315490 11840747039 12917178588 16146473235 19375767882 21528630980 23681494078 32292946470 35522241117 38751535764 47362988156 48439419705 59203735195 64585892940 71044482234 96878839410 106566723351 118407470390 142088964468 177611205585 193757678820 213133446702 236814940780 355222411170 426266893404 532833616755 710444822340 1065667233510 2131334467020