Search a number
-
+
243121020120 = 233251171864707
BaseRepresentation
bin1110001001101100100…
…1000101110011011000
3212020112112002110201200
43202123021011303120
512440402440120440
6303404355114200
723364523400556
oct3423311056330
9766475073650
10243121020120
119411a528910
123b1508a2960
1319c06b792b4
14baa4d98bd6
1564cde57c30
hex389b245cd8

243121020120 has 192 divisors, whose sum is σ = 874116023040. Its totient is φ = 58108243200.

The previous prime is 243121020101. The next prime is 243121020133. The reversal of 243121020120 is 21020121342.

It is a happy number.

243121020120 is a `hidden beast` number, since 2 + 431 + 2 + 10 + 201 + 20 = 666.

243121020120 is digitally balanced in base 3, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 243121020093 and 243121020102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151194 + ... + 713513.

It is an arithmetic number, because the mean of its divisors is an integer number (4552687620).

Almost surely, 2243121020120 is an apocalyptic number.

243121020120 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 243121020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437058011520).

243121020120 is an abundant number, since it is smaller than the sum of its proper divisors (630995002920).

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

243121020120 is a wasteful number, since it uses less digits than its factorization.

243121020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864806 (or 864799 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 243121020120 its reverse (21020121342), we get a palindrome (264141141462).

The spelling of 243121020120 in words is "two hundred forty-three billion, one hundred twenty-one million, twenty thousand, one hundred twenty".