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213442444110 = 23574379433691
BaseRepresentation
bin1100011011001000101…
…0010011101101001110
3202101221011121121011210
43012302022103231032
511444112231202420
6242015404155250
721264205561110
oct3066212235516
9671834547153
10213442444110
118257a771445
1235449538b26
131718727360c
14a48b4dd3b0
1558436709e0
hex31b2293b4e

213442444110 has 256 divisors, whose sum is σ = 608921026560. Its totient is φ = 46872483840.

The previous prime is 213442444109. The next prime is 213442444177. The reversal of 213442444110 is 11444244312.

It is a happy number.

213442444110 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 (30).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 308888865 + ... + 308889555.

It is an arithmetic number, because the mean of its divisors is an integer number (2378597760).

Almost surely, 2213442444110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213442444110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304460513280).

213442444110 is an abundant number, since it is smaller than the sum of its proper divisors (395478582450).

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

213442444110 is a wasteful number, since it uses less digits than its factorization.

213442444110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 213442444110 its reverse (11444244312), we get a palindrome (224886688422).

The spelling of 213442444110 in words is "two hundred thirteen billion, four hundred forty-two million, four hundred forty-four thousand, one hundred ten".