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103141244141 = 1337415230021
BaseRepresentation
bin110000000001110110…
…0100111110011101101
3100212020002110002010022
41200003230213303231
53142213124303031
6115214334451525
710310636052455
oct1400354476355
9325202402108
10103141244141
113a8185a8341
1217ba5963ba5
1399595486a0
144dc6312d65
152a39dcd97b
hex1803b27ced

103141244141 has 16 divisors (see below), whose sum is σ = 116859611568. Its totient is φ = 90374745600.

The previous prime is 103141244131. The next prime is 103141244237. The reversal of 103141244141 is 141442141301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1345789225 + 101795454916 = 36685^2 + 319054^2 .

It is a cyclic number.

It is not a de Polignac number, because 103141244141 - 222 = 103137049837 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103141244141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103141244131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595290 + ... + 2634731.

It is an arithmetic number, because the mean of its divisors is an integer number (7303725723).

Almost surely, 2103141244141 is an apocalyptic number.

It is an amenable number.

103141244141 is a deficient number, since it is larger than the sum of its proper divisors (13718367427).

103141244141 is a wasteful number, since it uses less digits than its factorization.

103141244141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230112.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 103141244141 its reverse (141442141301), we get a palindrome (244583385442).

The spelling of 103141244141 in words is "one hundred three billion, one hundred forty-one million, two hundred forty-four thousand, one hundred forty-one".

Divisors: 1 13 37 41 481 533 1517 19721 5230021 67990273 193510777 214430861 2515640101 2787601193 7933941857 103141244141