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320021322113233 = 13733158172123281
BaseRepresentation
bin100100011000011101100010…
…1001110011010000011010001
31112222002201222011201200011101
41020300323011032122003101
5313421212131430110413
63052343433225144401
7124256530456466266
oct11060730516320321
91488081864650141
10320021322113233
1192a7230a437844
122ba8633932b101
1310974b5bc716b0
1459051867b526d
1526ee75056cedd
hex1230ec539a0d1

320021322113233 has 16 divisors (see below), whose sum is σ = 345130503370576. Its totient is φ = 294982500280320.

The previous prime is 320021322113201. The next prime is 320021322113263. The reversal of 320021322113233 is 332311223120023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33352842636864 + 286668479476369 = 5775192^2 + 16931287^2 .

It is a cyclic number.

It is not a de Polignac number, because 320021322113233 - 25 = 320021322113201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320021322113263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149658553 + ... + 151781833.

It is an arithmetic number, because the mean of its divisors is an integer number (21570656460661).

Almost surely, 2320021322113233 is an apocalyptic number.

It is an amenable number.

320021322113233 is a deficient number, since it is larger than the sum of its proper divisors (25109181257343).

320021322113233 is a wasteful number, since it uses less digits than its factorization.

320021322113233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139844.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 320021322113233 its reverse (332311223120023), we get a palindrome (652332545233256).

The spelling of 320021322113233 in words is "three hundred twenty trillion, twenty-one billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 13 733 9529 15817 205621 2123281 11593861 27602653 150720193 1556364973 20232744649 33583935577 436591162501 24617024777941 320021322113233