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10142411361353 = 531092900960521
BaseRepresentation
bin1001001110010111011011…
…0100111000110001001001
31022220121100002022222111022
42103211312310320301021
52312133124302030403
633323205350442225
72064523260056525
oct223456664706111
938817302288438
1010142411361353
11326041088a687
121179801063375
1358756b48354b
14270c76ad6d85
15128c626d1d38
hex93976d38c49

10142411361353 has 16 divisors (see below), whose sum is σ = 10429114726800. Its totient is φ = 9859248322560.

The previous prime is 10142411361343. The next prime is 10142411361361. The reversal of 10142411361353 is 35316311424101.

It is a happy number.

10142411361353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 364107248569 + 9778304112784 = 603413^2 + 3127028^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142411361353 - 220 = 10142410312777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10142411361343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167554733 + ... + 167615253.

It is an arithmetic number, because the mean of its divisors is an integer number (651819670425).

Almost surely, 210142411361353 is an apocalyptic number.

It is an amenable number.

10142411361353 is a deficient number, since it is larger than the sum of its proper divisors (286703365447).

10142411361353 is a wasteful number, since it uses less digits than its factorization.

10142411361353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89692.

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 10142411361353 its reverse (35316311424101), we get a palindrome (45458722785454).

The spelling of 10142411361353 in words is "ten trillion, one hundred forty-two billion, four hundred eleven million, three hundred sixty-one thousand, three hundred fifty-three".

Divisors: 1 53 109 5777 29009 60521 1537477 3161981 3207613 6596789 167584993 349629817 1755653689 93049645517 191366252101 10142411361353