Search a number
-
+
242430022120 = 235111337283373
BaseRepresentation
bin1110000111000111110…
…1001001000111101000
3212011202100212010200011
43201301331021013220
512432444041201440
6303212032421304
723341433121256
oct3416175110750
9764670763604
10242430022120
11938a5477890
123ab993a7834
1319b2696c440
14ba3b2c55d6
15648d4629ea
hex3871f491e8

242430022120 has 384 divisors, whose sum is σ = 668338957440. Its totient is φ = 78012149760.

The previous prime is 242430022069. The next prime is 242430022127. The reversal of 242430022120 is 21220034242.

242430022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 242430022091 and 242430022100.

It is not an unprimeable number, because it can be changed into a prime (242430022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649946254 + ... + 649946626.

It is an arithmetic number, because the mean of its divisors is an integer number (1740466035).

Almost surely, 2242430022120 is an apocalyptic number.

242430022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242430022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334169478720).

242430022120 is an abundant number, since it is smaller than the sum of its proper divisors (425908935320).

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

242430022120 is a wasteful number, since it uses less digits than its factorization.

242430022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 242430022120 its reverse (21220034242), we get a palindrome (263650056362).

The spelling of 242430022120 in words is "two hundred forty-two billion, four hundred thirty million, twenty-two thousand, one hundred twenty".