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213292110444 = 2237175917914143
BaseRepresentation
bin1100011010100100110…
…0110101001001101100
3202101112200201212011020
43012221030311021230
511443310240013234
6241552434054140
721260402011410
oct3065114651154
9671480655136
10213292110444
1182502921546
123540711a350
131716208889a
14a475568d40
155835377549
hex31a933526c

213292110444 has 192 divisors, whose sum is σ = 615908966400. Its totient is φ = 56064771072.

The previous prime is 213292110413. The next prime is 213292110481. The reversal of 213292110444 is 444011292312.

213292110444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15074037 + ... + 15088179.

It is an arithmetic number, because the mean of its divisors is an integer number (3207859200).

Almost surely, 2213292110444 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 213292110444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307954483200).

213292110444 is an abundant number, since it is smaller than the sum of its proper divisors (402616855956).

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

213292110444 is a wasteful number, since it uses less digits than its factorization.

213292110444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14412 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 213292110444 in words is "two hundred thirteen billion, two hundred ninety-two million, one hundred ten thousand, four hundred forty-four".