Search a number
-
+
13023111113001 = 3211131546576899
BaseRepresentation
bin1011110110000010110111…
…1010010110100100101001
31201002222221000010201020200
42331200231322112210221
53201332312421104001
643410422403542413
72512613555666523
oct275405572264451
951088830121220
1013023111113001
114171085790a90
121563b7168aa09
137360c6a7c402
14330471598a13
15178b635e4086
hexbd82de96929

13023111113001 has 12 divisors (see below), whose sum is σ = 20521265996400. Its totient is φ = 7892794613880.

The previous prime is 13023111112981. The next prime is 13023111113003. The reversal of 13023111113001 is 10031111132031.

13023111113001 is a `hidden beast` number, since 130 + 231 + 1 + 1 + 1 + 1 + 300 + 1 = 666.

It is not a de Polignac number, because 13023111113001 - 230 = 13022037371177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13023111113003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65773288351 + ... + 65773288548.

It is an arithmetic number, because the mean of its divisors is an integer number (1710105499700).

Almost surely, 213023111113001 is an apocalyptic number.

13023111113001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13023111113001 is a deficient number, since it is larger than the sum of its proper divisors (7498154883399).

13023111113001 is a wasteful number, since it uses less digits than its factorization.

13023111113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131546576916 (or 131546576913 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13023111113001 its reverse (10031111132031), we get a palindrome (23054222245032).

The spelling of 13023111113001 in words is "thirteen trillion, twenty-three billion, one hundred eleven million, one hundred thirteen thousand, one".

Divisors: 1 3 9 11 33 99 131546576899 394639730697 1183919192091 1447012345889 4341037037667 13023111113001