Search a number
-
+
213043526550 = 2325217377110601
BaseRepresentation
bin1100011001101001100…
…0100011101110010110
3202100220100222111011100
43012122120203232112
511442303120322200
6241512034050530
721251263045131
oct3063230435626
9670810874140
10213043526550
1182395575808
1235357a19a46
131712272091a
14a45053b218
15581d622d00
hex319a623b96

213043526550 has 288 divisors, whose sum is σ = 631251900864. Its totient is φ = 51287040000.

The previous prime is 213043526543. The next prime is 213043526557. The reversal of 213043526550 is 55625340312.

213043526550 is a `hidden beast` number, since 2 + 13 + 0 + 43 + 52 + 6 + 550 = 666.

213043526550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213043526543) and next prime (213043526557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213043526557) 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 143 ways as a sum of consecutive naturals, for example, 20091250 + ... + 20101850.

It is an arithmetic number, because the mean of its divisors is an integer number (2191846878).

Almost surely, 2213043526550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213043526550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315625950432).

213043526550 is an abundant number, since it is smaller than the sum of its proper divisors (418208374314).

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

213043526550 is a wasteful number, since it uses less digits than its factorization.

213043526550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 213043526550 its reverse (55625340312), we get a palindrome (268668866862).

The spelling of 213043526550 in words is "two hundred thirteen billion, forty-three million, five hundred twenty-six thousand, five hundred fifty".