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10101352420240 = 2454712211220009
BaseRepresentation
bin1001001011111110011110…
…0001011101001110010000
31022202200100121200122212121
42102333213201131032100
52311000032204421430
633252255223104024
72061540633611044
oct222774741351620
938680317618777
1010101352420240
113244a611104a4
1211718625a2014
13583726bc7b13
1426cc9da38024
15127b5cc74a7a
hex92fe785d390

10101352420240 has 80 divisors (see below), whose sum is σ = 23987412207360. Its totient is φ = 3954230184960.

The previous prime is 10101352420223. The next prime is 10101352420241. The reversal of 10101352420240 is 4202425310101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10101352420241) 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 15 ways as a sum of consecutive naturals, for example, 45803356 + ... + 46023364.

It is an arithmetic number, because the mean of its divisors is an integer number (299842652592).

Almost surely, 210101352420240 is an apocalyptic number.

10101352420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101352420240 is an abundant number, since it is smaller than the sum of its proper divisors (13886059787120).

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

10101352420240 is a wasteful number, since it uses less digits than its factorization.

10101352420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232280 (or 232274 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10101352420240 its reverse (4202425310101), we get a palindrome (14303777730341).

The spelling of 10101352420240 in words is "ten trillion, one hundred one billion, three hundred fifty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 12211 24422 48844 61055 97688 122110 195376 220009 244220 440018 488440 573917 880036 976880 1100045 1147834 1760072 2200090 2295668 2869585 3520144 4400180 4591336 5739170 8800360 9182672 10340423 11478340 17600720 20680846 22956680 41361692 45913360 51702115 82723384 103404230 165446768 206808460 413616920 827233840 2686529899 5373059798 10746119596 13432649495 21492239192 26865298990 42984478384 53730597980 107461195960 126266905253 214922391920 252533810506 505067621012 631334526265 1010135242024 1262669052530 2020270484048 2525338105060 5050676210120 10101352420240