Search a number
-
+
11312242013133 = 321292397261919
BaseRepresentation
bin1010010010011101011000…
…1010101011001111001101
31111001102212121002102000100
42210213112022223033031
52440314432423410013
640020434445321313
72245165621411245
oct244472612531715
944042777072010
1011312242013133
113671549785936
12132847ab66239
136409805916c9
142b17304d2b25
151493cd991473
hexa49d62ab3cd

11312242013133 has 12 divisors (see below), whose sum is σ = 16341169703040. Its totient is φ = 7540911026376.

The previous prime is 11312242013129. The next prime is 11312242013147. The reversal of 11312242013133 is 33131024221311.

11312242013133 is a `hidden beast` number, since 11 + 312 + 2 + 4 + 20 + 1 + 313 + 3 = 666.

It is not a de Polignac number, because 11312242013133 - 22 = 11312242013129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11312242013097 and 11312242013106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312242013123) 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, 48514653 + ... + 48747266.

It is an arithmetic number, because the mean of its divisors is an integer number (1361764141920).

Almost surely, 211312242013133 is an apocalyptic number.

It is an amenable number.

11312242013133 is a deficient number, since it is larger than the sum of its proper divisors (5028927689907).

11312242013133 is a wasteful number, since it uses less digits than its factorization.

11312242013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97274848 (or 97274845 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11312242013133 its reverse (33131024221311), we get a palindrome (44443266234444).

The spelling of 11312242013133 in words is "eleven trillion, three hundred twelve billion, two hundred forty-two million, thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 12923 38769 116307 97261919 291785757 875357271 1256915779237 3770747337711 11312242013133