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1013108762369 = 11289119378857
BaseRepresentation
bin11101011111000011111…
…11001110011100000001
310120212000021212112212102
432233201333032130001
5113044321320343434
62053225444440145
7133123531252064
oct16574177163401
93525007775772
101013108762369
11360725537100
121444200a9055
13746c705b472
143706b4048db
151b5474ee07e
hexebe1fce701

1013108762369 has 24 divisors (see below), whose sum is σ = 1127052730440. Its totient is φ = 909884687360.

The previous prime is 1013108762363. The next prime is 1013108762473. The reversal of 1013108762369 is 9632678013101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11878384144 + 1001230378225 = 108988^2 + 1000615^2 .

It is not a de Polignac number, because 1013108762369 - 212 = 1013108758273 is a prime.

It is a super-2 number, since 2×10131087623692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013108762363) 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 23 ways as a sum of consecutive naturals, for example, 12807989 + ... + 12886845.

It is an arithmetic number, because the mean of its divisors is an integer number (46960530435).

Almost surely, 21013108762369 is an apocalyptic number.

It is an amenable number.

1013108762369 is a deficient number, since it is larger than the sum of its proper divisors (113943968071).

1013108762369 is a wasteful number, since it uses less digits than its factorization.

1013108762369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80161 (or 80150 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 1013108762369 in words is "one trillion, thirteen billion, one hundred eight million, seven hundred sixty-two thousand, three hundred sixty-nine".

Divisors: 1 11 89 121 979 1193 10769 13123 78857 106177 144353 867427 1167947 7018273 9541697 12847417 77201003 94076401 849211033 1034840411 8372799689 11383244521 92100796579 1013108762369