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2022132312032 = 257283103251601
BaseRepresentation
bin11101011011010000011…
…110100110011111100000
321011022110212200210102112
4131123100132212133200
5231112311332441112
64144542121134452
7266044216024100
oct35332036463740
97138425623375
102022132312032
1170a643a78458
12287aa002a428
131188bc9312b1
146dc2c033200
1537901044a22
hex1d6d07a67e0

2022132312032 has 288 divisors, whose sum is σ = 4759102543104. Its totient is φ = 843091200000.

The previous prime is 2022132311957. The next prime is 2022132312043. The reversal of 2022132312032 is 2302132312202.

It is a junction number, because it is equal to n+sod(n) for n = 2022132311989 and 2022132312007.

It is a congruent number.

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, 3364612532 + ... + 3364613132.

It is an arithmetic number, because the mean of its divisors is an integer number (16524661608).

Almost surely, 22022132312032 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 2022132312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379551271552).

2022132312032 is an abundant number, since it is smaller than the sum of its proper divisors (2736970231072).

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

2022132312032 is a wasteful number, since it uses less digits than its factorization.

2022132312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2022132312032 its reverse (2302132312202), we get a palindrome (4324264624234).

The spelling of 2022132312032 in words is "two trillion, twenty-two billion, one hundred thirty-two million, three hundred twelve thousand, thirty-two".