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1024113103041 = 3737313633573
BaseRepresentation
bin11101110011100011110…
…01011101000011000001
310121220102012110222101110
432321301321131003001
5113234340423244131
62102245425553533
7133663322514000
oct16716171350301
93556365428343
101024113103041
1136536216a126
121465914a58a9
137575bb45752
14377d2ac4c37
151b98d649646
hexee71e5d0c1

1024113103041 has 32 divisors (see below), whose sum is σ = 1614215161600. Its totient is φ = 577190904192.

The previous prime is 1024113103031. The next prime is 1024113103073. The reversal of 1024113103041 is 1403013114201.

It is not a de Polignac number, because 1024113103041 - 210 = 1024113102017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1024113102999 and 1024113103017.

It is not an unprimeable number, because it can be changed into a prime (1024113103001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6741670 + ... + 6891903.

It is an arithmetic number, because the mean of its divisors is an integer number (50444223800).

Almost surely, 21024113103041 is an apocalyptic number.

It is an amenable number.

1024113103041 is a deficient number, since it is larger than the sum of its proper divisors (590102058559).

1024113103041 is an equidigital number, since it uses as much as digits as its factorization.

1024113103041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633670 (or 13633656 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1024113103041 its reverse (1403013114201), we get a palindrome (2427126217242).

The spelling of 1024113103041 in words is "one trillion, twenty-four billion, one hundred thirteen million, one hundred three thousand, forty-one".

Divisors: 1 3 7 21 49 73 147 219 343 511 1029 1533 3577 10731 25039 75117 13633573 40900719 95435011 286305033 668045077 995250829 2004135231 2985752487 4676315539 6966755803 14028946617 20900267409 48767290621 146301871863 341371034347 1024113103041