Search a number
-
+
1313102300301 = 321165320311883
BaseRepresentation
bin10011000110111010111…
…111110000010010001101
311122112100100122021022200
4103012322333300102031
5133003213142102201
62443121511232113
7163603620251541
oct23067277602215
94575310567280
101313102300301
1146697a01a350
121925a3378639
1396a9573695c
14477a9743a21
1524254333386
hex131baff048d

1313102300301 has 24 divisors (see below), whose sum is σ = 2072299653216. Its totient is φ = 794600823840.

The previous prime is 1313102300291. The next prime is 1313102300309. The reversal of 1313102300301 is 1030032013131.

It is a happy number.

1313102300301 is a `hidden beast` number, since 1 + 3 + 131 + 0 + 230 + 0 + 301 = 666.

It is not a de Polignac number, because 1313102300301 - 210 = 1313102299277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313102300309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10091295 + ... + 10220588.

It is an arithmetic number, because the mean of its divisors is an integer number (86345818884).

Almost surely, 21313102300301 is an apocalyptic number.

1313102300301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313102300301 is a deficient number, since it is larger than the sum of its proper divisors (759197352915).

1313102300301 is a wasteful number, since it uses less digits than its factorization.

1313102300301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20312553 (or 20312550 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313102300301 its reverse (1030032013131), we get a palindrome (2343134313432).

The spelling of 1313102300301 in words is "one trillion, three hundred thirteen billion, one hundred two million, three hundred thousand, three hundred one".

Divisors: 1 3 9 11 33 99 653 1959 5877 7183 21549 64647 20311883 60935649 182806947 223430713 670292139 2010876417 13263659599 39790978797 119372936391 145900255589 437700766767 1313102300301