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243321033132 = 2236149560023
BaseRepresentation
bin1110001010011100010…
…0000101000110101100
3212021001110110012000000
43202213010011012230
512441310141030012
6303440302104300
723402502441102
oct3424704050654
9767043405000
10243321033132
119421241a621
123b1a787b090
1319c394394a8
14bac3781c72
1564e17b5ddc
hex38a71051ac

243321033132 has 84 divisors (see below), whose sum is σ = 642711543600. Its totient is φ = 80562524832.

The previous prime is 243321033121. The next prime is 243321033139. The reversal of 243321033132 is 231330123342.

243321033132 is a `hidden beast` number, since 2 + 4 + 3 + 321 + 0 + 331 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 243321033096 and 243321033105.

It is not an unprimeable number, because it can be changed into a prime (243321033139) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 154473 + ... + 714495.

It is an arithmetic number, because the mean of its divisors is an integer number (7651327900).

Almost surely, 2243321033132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243321033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321355771800).

243321033132 is an abundant number, since it is smaller than the sum of its proper divisors (399390510468).

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

243321033132 is a wasteful number, since it uses less digits than its factorization.

243321033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560194 (or 560177 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 243321033132 its reverse (231330123342), we get a palindrome (474651156474).

The spelling of 243321033132 in words is "two hundred forty-three billion, three hundred twenty-one million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 243 298 324 447 486 596 729 894 972 1341 1458 1788 2682 2916 4023 5364 8046 12069 16092 24138 36207 48276 72414 108621 144828 217242 434484 560023 1120046 1680069 2240092 3360138 5040207 6720276 10080414 15120621 20160828 30241242 45361863 60482484 83443427 90723726 136085589 166886854 181447452 250330281 272171178 333773708 408256767 500660562 544342356 750990843 816513534 1001321124 1501981686 1633027068 2252972529 3003963372 4505945058 6758917587 9011890116 13517835174 20276752761 27035670348 40553505522 60830258283 81107011044 121660516566 243321033132