Search a number
-
+
11322400293 = 33419348159
BaseRepresentation
bin10101000101101111…
…00001111000100101
31002020002002112022000
422202313201320211
5141142013302133
65111302155513
7550402546251
oct124267417045
932202075260
1011322400293
114890221a16
12223ba22b99
1310b5969259
14795a35261
15464025413
hex2a2de1e25

11322400293 has 8 divisors (see below), whose sum is σ = 16773926400. Its totient is φ = 7548266844.

The previous prime is 11322400277. The next prime is 11322400343. The reversal of 11322400293 is 39200422311.

It is a happy number.

11322400293 is a `hidden beast` number, since 1 + 132 + 240 + 0 + 293 = 666.

11322400293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11322400293 - 24 = 11322400277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 419348159 = 11322400293 / (1 + 1 + 3 + 2 + 2 + 4 + 0 + 0 + 2 + 9 + 3).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322400213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209674053 + ... + 209674106.

It is an arithmetic number, because the mean of its divisors is an integer number (2096740800).

Almost surely, 211322400293 is an apocalyptic number.

It is an amenable number.

11322400293 is a deficient number, since it is larger than the sum of its proper divisors (5451526107).

11322400293 is an equidigital number, since it uses as much as digits as its factorization.

11322400293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419348168 (or 419348162 counting only the distinct ones).

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

The spelling of 11322400293 in words is "eleven billion, three hundred twenty-two million, four hundred thousand, two hundred ninety-three".

Divisors: 1 3 9 27 419348159 1258044477 3774133431 11322400293