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2442350311212 = 2237618327121191
BaseRepresentation
bin100011100010100111011…
…011000011011100101100
322122111010120222221022210
4203202213123003130230
5310003413134424322
65110000015210420
7341311501053120
oct43424733033454
98574116887283
102442350311212
11861882095889
12335416216a10
1314940ab64056
14862d3427580
15437e78bb70c
hex238a76c372c

2442350311212 has 192 divisors, whose sum is σ = 6724497604608. Its totient is φ = 675571104000.

The previous prime is 2442350311207. The next prime is 2442350311231. The reversal of 2442350311212 is 2121130532442.

It is a happy number.

2442350311212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2442350311212.

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, 115243537 + ... + 115264727.

It is an arithmetic number, because the mean of its divisors is an integer number (35023425024).

Almost surely, 22442350311212 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 2442350311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362248802304).

2442350311212 is an abundant number, since it is smaller than the sum of its proper divisors (4282147293396).

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

2442350311212 is a wasteful number, since it uses less digits than its factorization.

2442350311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21620 (or 21618 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2442350311212 its reverse (2121130532442), we get a palindrome (4563480843654).

The spelling of 2442350311212 in words is "two trillion, four hundred forty-two billion, three hundred fifty million, three hundred eleven thousand, two hundred twelve".