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103540431241141 = 257544497399237
BaseRepresentation
bin10111100010101101100010…
…100111111011111110110101
3111120121100221200022101002221
4113202231202213323332311
5102032401300344204031
61004113452323202341
730544356260146426
oct2742554247737665
9446540850271087
10103540431241141
112aa9a283162224
12b7429b4b163b1
1345a0a8930562b
141b7d5528b364d
15be84ce413a11
hex5e2b629fbfb5

103540431241141 has 8 divisors (see below), whose sum is σ = 103945235347800. Its totient is φ = 103135642042368.

The previous prime is 103540431241103. The next prime is 103540431241189. The reversal of 103540431241141 is 141142134045301.

It can be written as a sum of positive squares in 4 ways, for example, as 73908151090225 + 29632280150916 = 8596985^2 + 5443554^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103540431241141 - 233 = 103531841306549 is a prime.

It is a super-3 number, since 3×1035404312411413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103540431241097 and 103540431241106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103540431241441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10293775 + ... + 17693011.

It is an arithmetic number, because the mean of its divisors is an integer number (12993154418475).

Almost surely, 2103540431241141 is an apocalyptic number.

It is an amenable number.

103540431241141 is a deficient number, since it is larger than the sum of its proper divisors (404804106659).

103540431241141 is an equidigital number, since it uses as much as digits as its factorization.

103540431241141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7453943.

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 103540431241141 its reverse (141142134045301), we get a palindrome (244682565286442).

The spelling of 103540431241141 in words is "one hundred three trillion, five hundred forty billion, four hundred thirty-one million, two hundred forty-one thousand, one hundred forty-one".

Divisors: 1 257 54449 7399237 13993393 1901603909 402881055413 103540431241141