Search a number
-
+
1103303100141 = 331128313126591
BaseRepresentation
bin10000000011100001111…
…111010100011011101101
310220110211002102122022000
4100003201333110123231
5121034031043201031
62202503410242513
7142465610421054
oct20034177243355
93813732378260
101103303100141
113959a9923020
121599b1b86439
138006c2046b8
143b58604d39b
151da759673e6
hex100e1fd46ed

1103303100141 has 32 divisors (see below), whose sum is σ = 1789417021440. Its totient is φ = 666305708400.

The previous prime is 1103303100139. The next prime is 1103303100143. The reversal of 1103303100141 is 1410013033011.

1103303100141 is a `hidden beast` number, since 1 + 10 + 330 + 310 + 0 + 14 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1103303100139) and next prime (1103303100143).

It is not a de Polignac number, because 1103303100141 - 21 = 1103303100139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103303100143) 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, 6479245 + ... + 6647346.

It is an arithmetic number, because the mean of its divisors is an integer number (55919281920).

Almost surely, 21103303100141 is an apocalyptic number.

1103303100141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1103303100141 is a deficient number, since it is larger than the sum of its proper divisors (686113921299).

1103303100141 is a wasteful number, since it uses less digits than its factorization.

1103303100141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13126894 (or 13126888 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1103303100141 its reverse (1410013033011), we get a palindrome (2513316133152).

The spelling of 1103303100141 in words is "one trillion, one hundred three billion, three hundred three million, one hundred thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 283 297 849 2547 3113 7641 9339 28017 84051 13126591 39379773 118139319 144392501 354417957 433177503 1299532509 3714825253 3898597527 11144475759 33433427277 40863077783 100300281831 122589233349 367767700047 1103303100141