Search a number
-
+
13003100300331 = 321817982259239
BaseRepresentation
bin1011110100111000010100…
…1011001010010000101011
31201001002021102021002210200
42331032011023022100223
53201020322134102311
643353313010443243
72511304642620021
oct275160513122053
951032242232720
1013003100300331
114163647147279
121560107b93523
1373425808a05b
1432d4d3a9a711
1517839193e556
hexbd3852ca42b

13003100300331 has 12 divisors (see below), whose sum is σ = 18886025361840. Its totient is φ = 8620839977040.

The previous prime is 13003100300279. The next prime is 13003100300381. The reversal of 13003100300331 is 13300300130031.

13003100300331 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 31 + 0 + 0 + 300 + 331 = 666.

It is not a de Polignac number, because 13003100300331 - 217 = 13003100169259 is a prime.

It is a super-2 number, since 2×130031003003312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13003100300381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3991127991 + ... + 3991131248.

It is an arithmetic number, because the mean of its divisors is an integer number (1573835446820).

Almost surely, 213003100300331 is an apocalyptic number.

13003100300331 is a deficient number, since it is larger than the sum of its proper divisors (5882925061509).

13003100300331 is a wasteful number, since it uses less digits than its factorization.

13003100300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982259426 (or 7982259423 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13003100300331 its reverse (13300300130031), we get a palindrome (26303400430362).

The spelling of 13003100300331 in words is "thirteen trillion, three billion, one hundred million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 181 543 1629 7982259239 23946777717 71840333151 1444788922259 4334366766777 13003100300331