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323142120020 = 22516157106001
BaseRepresentation
bin1001011001111001100…
…01010111001001010100
31010220002022220112100102
410230330301113021110
520243243340320040
6404241025033232
732226522462116
oct4547461271124
91126068815312
10323142120020
11115053336625
1252763785818
132461a48b055
14118d68673b6
1586141e3515
hex4b3cc57254

323142120020 has 12 divisors (see below), whose sum is σ = 678598452084. Its totient is φ = 129256848000.

The previous prime is 323142120013. The next prime is 323142120047. The reversal of 323142120020 is 20021241323.

It can be written as a sum of positive squares in 2 ways, for example, as 58687000516 + 264455119504 = 242254^2 + 514252^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 16157106001 = 323142120020 / (3 + 2 + 3 + 1 + 4 + 2 + 1 + 2 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 323142119974 and 323142120001.

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 3 ways as a sum of consecutive naturals, for example, 8078552981 + ... + 8078553020.

It is an arithmetic number, because the mean of its divisors is an integer number (56549871007).

Almost surely, 2323142120020 is an apocalyptic number.

It is an amenable number.

323142120020 is an abundant number, since it is smaller than the sum of its proper divisors (355456332064).

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

323142120020 is a wasteful number, since it uses less digits than its factorization.

323142120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16157106010 (or 16157106008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 323142120020 its reverse (20021241323), we get a palindrome (343163361343).

The spelling of 323142120020 in words is "three hundred twenty-three billion, one hundred forty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 16157106001 32314212002 64628424004 80785530005 161571060010 323142120020