Search a number
-
+
12153400242 = 239720882131
BaseRepresentation
bin10110101000110011…
…00010101110110010
31011100222202200220220
423110121202232302
5144342232301432
65325545313510
7610113124524
oct132431425662
934328680826
1012153400242
115177306535
122432195896
1311b8b842b9
1483414da14
154b1e7272c
hex2d4662bb2

12153400242 has 16 divisors (see below), whose sum is σ = 24557387232. Its totient is φ = 4009368960.

The previous prime is 12153400241. The next prime is 12153400253. The reversal of 12153400242 is 24200435121.

12153400242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12153400241) 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, 10440484 + ... + 10441647.

It is an arithmetic number, because the mean of its divisors is an integer number (1534836702).

Almost surely, 212153400242 is an apocalyptic number.

12153400242 is an abundant number, since it is smaller than the sum of its proper divisors (12403986990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12153400242 is a wasteful number, since it uses less digits than its factorization.

12153400242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20882233.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12153400242 its reverse (24200435121), we get a palindrome (36353835363).

The spelling of 12153400242 in words is "twelve billion, one hundred fifty-three million, four hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 97 194 291 582 20882131 41764262 62646393 125292786 2025566707 4051133414 6076700121 12153400242