Search a number
-
+
13011010231323 = 3131719624449821
BaseRepresentation
bin1011110101010101110010…
…1001001001110000011011
31201001211200200012020020210
42331111130221021300123
53201133022104400243
643401101532022203
72512004651126226
oct275253451116033
951054620166223
1013011010231323
114166a36096525
121561755001963
13734c18a559b0
1432da443da5bd
151786a6097933
hexbd55ca49c1b

13011010231323 has 16 divisors (see below), whose sum is σ = 19781445420576. Its totient is φ = 7535788730880.

The previous prime is 13011010231309. The next prime is 13011010231411. The reversal of 13011010231323 is 32313201011031.

It is a happy number.

It is not a de Polignac number, because 13011010231323 - 29 = 13011010230811 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13011010231323.

It is not an unprimeable number, because it can be changed into a prime (13011010231223) 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 15 ways as a sum of consecutive naturals, for example, 9812224248 + ... + 9812225573.

It is an arithmetic number, because the mean of its divisors is an integer number (1236340338786).

Almost surely, 213011010231323 is an apocalyptic number.

13011010231323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13011010231323 is a deficient number, since it is larger than the sum of its proper divisors (6770435189253).

13011010231323 is a wasteful number, since it uses less digits than its factorization.

13011010231323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19624449854.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13011010231323 its reverse (32313201011031), we get a palindrome (45324211242354).

The spelling of 13011010231323 in words is "thirteen trillion, eleven billion, ten million, two hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 13 17 39 51 221 663 19624449821 58873349463 255117847673 333615646957 765353543019 1000846940871 4337003410441 13011010231323