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321000320141 = 1741797577849
BaseRepresentation
bin1001010101111010001…
…11000010110010001101
31010200120001201211020222
410222331013002302031
520224402040221031
6403244314521125
732122454462444
oct4527507026215
91120501654228
10321000320141
11114154348686
12522664361a5
1324368826347
1411772219d5b
15853b170e7b
hex4abd1c2c8d

321000320141 has 16 divisors (see below), whose sum is σ = 348609970800. Its totient is φ = 294378885120.

The previous prime is 321000320057. The next prime is 321000320161. The reversal of 321000320141 is 141023000123.

It can be written as a sum of positive squares in 8 ways, for example, as 158508100 + 320841812041 = 12590^2 + 566429^2 .

It is a cyclic number.

It is not a de Polignac number, because 321000320141 - 222 = 320996125837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321000320161) 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 15 ways as a sum of consecutive naturals, for example, 266585 + ... + 844433.

It is an arithmetic number, because the mean of its divisors is an integer number (21788123175).

Almost surely, 2321000320141 is an apocalyptic number.

It is an amenable number.

321000320141 is a deficient number, since it is larger than the sum of its proper divisors (27609650659).

321000320141 is a wasteful number, since it uses less digits than its factorization.

321000320141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578704.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 321000320141 its reverse (141023000123), we get a palindrome (462023320264).

The spelling of 321000320141 in words is "three hundred twenty-one billion, three hundred twenty thousand, one hundred forty-one".

Divisors: 1 17 41 697 797 13549 32677 555509 577849 9823433 23691809 402760753 460545653 7829276101 18882371773 321000320141