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131121111010320 = 24325473874737323
BaseRepresentation
bin11101110100000100000011…
…001111101000110000010000
3122012021001111200011111101200
4131310010003033220300100
5114141242013404312240
61142512112401431200
736422121236104164
oct3564040317506020
9565231450144350
10131121111010320
1138863172932792
121285819693b500
13582188ac72432
14245441d314ca4
151025b635c3930
hex7741033e8c10

131121111010320 has 120 divisors (see below), whose sum is σ = 449717512772736. Its totient is φ = 34221680027904.

The previous prime is 131121111010283. The next prime is 131121111010387. The reversal of 131121111010320 is 23010111121131.

131121111010320 is a `hidden beast` number, since 1 + 3 + 11 + 211 + 110 + 10 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1311211110103202 (a number of 29 digits) contains 22 as substring.

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 = 131121111010293 and 131121111010302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1937334822 + ... + 1937402501.

Almost surely, 2131121111010320 is an apocalyptic number.

131121111010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131121111010320 is an abundant number, since it is smaller than the sum of its proper divisors (318596401762416).

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

131121111010320 is a wasteful number, since it uses less digits than its factorization.

131121111010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874737389 (or 3874737380 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 131121111010320 its reverse (23010111121131), we get a palindrome (154131222131451).

The spelling of 131121111010320 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, one hundred eleven million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 3874737323 7749474646 11624211969 15498949292 19373686615 23248423938 30997898584 34872635907 38747373230 46496847876 58121059845 61995797168 69745271814 77494746460 92993695752 116242119690 139490543628 154989492920 174363179535 182112654181 185987391504 232484239380 278981087256 309978985840 348726359070 364225308362 464968478760 546337962543 557962174512 697452718140 728450616724 910563270905 929936957520 1092675925086 1394905436280 1456901233448 1639013887629 1821126541810 2185351850172 2731689812715 2789810872560 2913802466896 3278027775258 3642253083620 4370703700344 5463379625430 6556055550516 7284506167240 8195069438145 8741407400688 10926759250860 13112111101032 14569012334480 16390138876290 21853518501720 26224222202064 32780277752580 43707037003440 65560555505160 131121111010320