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2313422243132 = 22711513193167
BaseRepresentation
bin100001101010100010101…
…101100000010100111100
322012011100101002110212012
4201222202231200110330
5300400342043240012
64530434351230352
7326065521420530
oct41524255402474
98164311073765
102313422243132
11812131600000
123144345183b8
1313a202093680
147dd82471bc0
154029dbe7622
hex21aa2b6053c

2313422243132 has 576 divisors, whose sum is σ = 6044506030080. Its totient is φ = 751399545600.

The previous prime is 2313422243129. The next prime is 2313422243149.

2313422243132 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34528690163 + ... + 34528690229.

It is an arithmetic number, because the mean of its divisors is an integer number (10493934080).

Almost surely, 22313422243132 is an apocalyptic number.

2313422243132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313422243132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022253015040).

2313422243132 is an abundant number, since it is smaller than the sum of its proper divisors (3731083786948).

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

2313422243132 is a wasteful number, since it uses less digits than its factorization.

2313422243132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 150 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 2313422243132 in words is "two trillion, three hundred thirteen billion, four hundred twenty-two million, two hundred forty-three thousand, one hundred thirty-two".