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321313120020 = 22325431011392957
BaseRepresentation
bin1001010110011111100…
…00010001111100010100
31010201100212022201000200
410223033300101330110
520231022124320040
6403335331140500
732133303312444
oct4531760217424
91121325281020
10321313120020
111142a4974882
1252333144730
13243b8586229
14117a19a2124
15855885c630
hex4acfc11f14

321313120020 has 288 divisors, whose sum is σ = 1014779525760. Its totient is φ = 82238284800.

The previous prime is 321313120013. The next prime is 321313120021. The reversal of 321313120020 is 20021313123.

321313120020 is a `hidden beast` number, since 321 + 31 + 312 + 0 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321313119975 and 321313120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321313120021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 108660382 + ... + 108663338.

It is an arithmetic number, because the mean of its divisors is an integer number (3523540020).

Almost surely, 2321313120020 is an apocalyptic number.

321313120020 is a gapful number since it is divisible by the number (30) 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 321313120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507389762880).

321313120020 is an abundant number, since it is smaller than the sum of its proper divisors (693466405740).

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

321313120020 is a wasteful number, since it uses less digits than its factorization.

321313120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321313120020 its reverse (20021313123), we get a palindrome (341334433143).

The spelling of 321313120020 in words is "three hundred twenty-one billion, three hundred thirteen million, one hundred twenty thousand, twenty".