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320131343131023 = 31011517519419901
BaseRepresentation
bin100100011001010000110001…
…0111111010010000110001111
31112222111020221201200110112010
41020302201202333102012033
5313430012442320143043
63052510150405312303
7124300504054635144
oct11062414277220617
91488436851613463
10320131343131023
1193004a38432926
122baa3723105693
131098234391a058
14590a6226aa3cb
15270253e418133
hex1232862fd218f

320131343131023 has 64 divisors (see below), whose sum is σ = 435006169509888. Its totient is φ = 209385000000000.

The previous prime is 320131343130931. The next prime is 320131343131079.

It is a happy number.

320131343131023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320131343131023 - 218 = 320131342868879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320131343171023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32333228373 + ... + 32333238273.

It is an arithmetic number, because the mean of its divisors is an integer number (6796971398592).

Almost surely, 2320131343131023 is an apocalyptic number.

320131343131023 is a deficient number, since it is larger than the sum of its proper divisors (114874826378865).

320131343131023 is a wasteful number, since it uses less digits than its factorization.

320131343131023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 320131343131023 in words is "three hundred twenty trillion, one hundred thirty-one billion, three hundred forty-three million, one hundred thirty-one thousand, twenty-three".

Divisors: 1 3 101 151 303 453 751 941 2253 2823 9901 15251 29703 45753 75851 95041 113401 142091 227553 285123 340203 426273 706691 1000001 1495051 2120073 3000003 4485153 7435651 9316841 11453501 14351191 22306953 27950523 34360503 43053573 71375791 106710341 151000151 214127373 320131023 453000453 751000751 941000941 1122783301 1406842991 2253002253 2823002823 3368349903 4220528973 6996947591 10777744441 20990842773 32333233323 113401113401 142091142091 340203340203 426273426273 706691706691 1056539086241 2120075120073 3169617258723 106710447710341 320131343131023