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2234983103136 = 25337253996067
BaseRepresentation
bin100000100001011111010…
…111111011101010100000
321220122212211000022021000
4200201133113323222200
5243104221133300021
64430423112232000
7320320651632300
oct40413727735240
97818784008230
102234983103136
1179193a772173
123011a339b600
131329b143c374
147a260b1d600
153d20c795b26
hex2085f5fbaa0

2234983103136 has 288 divisors, whose sum is σ = 7726061206080. Its totient is φ = 626517545472.

The previous prime is 2234983103081. The next prime is 2234983103147. The reversal of 2234983103136 is 6313013894322.

2234983103136 is a `hidden beast` number, since 2 + 23 + 498 + 3 + 1 + 0 + 3 + 136 = 666.

2234983103136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2234983103091 and 2234983103100.

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, 1745775 + ... + 2741841.

It is an arithmetic number, because the mean of its divisors is an integer number (26826601410).

Almost surely, 22234983103136 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 2234983103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863030603040).

2234983103136 is an abundant number, since it is smaller than the sum of its proper divisors (5491078102944).

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

2234983103136 is a wasteful number, since it uses less digits than its factorization.

2234983103136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996153 (or 996132 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

Adding to 2234983103136 its reverse (6313013894322), we get a palindrome (8547996997458).

The spelling of 2234983103136 in words is "two trillion, two hundred thirty-four billion, nine hundred eighty-three million, one hundred three thousand, one hundred thirty-six".