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320331133023 = 31119510894949
BaseRepresentation
bin1001010100101010011…
…10010011000001011111
31010121211102112121002220
410222111032103001133
520222014232224043
6403054051520423
732100050463546
oct4522516230137
91117742477086
10320331133023
11113940634480
12520ba2b9113
132428ccb4c35
141170b3c315d
1584ec538483
hex4a9539305f

320331133023 has 16 divisors (see below), whose sum is σ = 490459152000. Its totient is φ = 183922181280.

The previous prime is 320331133021. The next prime is 320331133027.

320331133023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320331133023 - 21 = 320331133021 is a prime.

It is a super-2 number, since 2×3203311330232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320331132984 and 320331133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320331133021) 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, 255446848 + ... + 255448101.

It is an arithmetic number, because the mean of its divisors is an integer number (30653697000).

Almost surely, 2320331133023 is an apocalyptic number.

320331133023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320331133023 is a deficient number, since it is larger than the sum of its proper divisors (170128018977).

320331133023 is a wasteful number, since it uses less digits than its factorization.

320331133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510894982.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 320331 and 133023, that added together give a palindrome (453354).

The spelling of 320331133023 in words is "three hundred twenty billion, three hundred thirty-one million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 11 19 33 57 209 627 510894949 1532684847 5619844439 9707004031 16859533317 29121012093 106777044341 320331133023