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320331242133023 = 11217155727390439
BaseRepresentation
bin100100011010101101110110…
…1111001011101011000011111
31120000012100221000220220210212
41020311123231321131120133
5313441301340441224043
63053142050250523035
7124321111541262302
oct11065335571353037
91500170830826725
10320331242133023
1193081798190800
122bb16410a3647b
13109981500363a4
1459161871bab39
15270783da8c018
hex12356ede5d61f

320331242133023 has 12 divisors (see below), whose sum is σ = 372811372713360. Its totient is φ = 274080207170880.

The previous prime is 320331242132971. The next prime is 320331242133101.

320331242133023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320331242133023 - 26 = 320331242132959 is a prime.

It is a super-2 number, since 2×3203312421330232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320331242133523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77863693163 + ... + 77863697276.

It is an arithmetic number, because the mean of its divisors is an integer number (31067614392780).

Almost surely, 2320331242133023 is an apocalyptic number.

320331242133023 is a deficient number, since it is larger than the sum of its proper divisors (52480130580337).

320331242133023 is a wasteful number, since it uses less digits than its factorization.

320331242133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155727390478 (or 155727390467 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 320331242133023 in words is "three hundred twenty trillion, three hundred thirty-one billion, two hundred forty-two million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 11 17 121 187 2057 155727390439 1713001294829 2647365637463 18843014243119 29121022012093 320331242133023