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331445544133 = 113597095953
BaseRepresentation
bin1001101001010111011…
…00011010010011000101
31011200112000021011212211
410310223230122103011
520412300024403013
6412133004143421
732642346432514
oct4645354322305
91150460234784
10331445544133
11118624407000
12542a0537b71
132534182a662
141208355667b
15894d17723d
hex4d2bb1a4c5

331445544133 has 32 divisors (see below), whose sum is σ = 371329545600. Its totient is φ = 295739642880.

The previous prime is 331445544107. The next prime is 331445544139.

331445544133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331445544133 - 221 = 331443446981 is a prime.

It is a super-2 number, since 2×3314455441332 (a number of 24 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 (331445544139) 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 31 ways as a sum of consecutive naturals, for example, 55674085 + ... + 55680037.

It is an arithmetic number, because the mean of its divisors is an integer number (11604048300).

Almost surely, 2331445544133 is an apocalyptic number.

It is an amenable number.

331445544133 is a deficient number, since it is larger than the sum of its proper divisors (39884001467).

331445544133 is an equidigital number, since it uses as much as digits as its factorization.

331445544133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754 (or 6732 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 331445 and 544133, that added together give a palindrome (875578).

The spelling of 331445544133 in words is "three hundred thirty-one billion, four hundred forty-five million, five hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 11 59 121 649 709 1331 5953 7139 7799 41831 65483 78529 85789 351227 460141 720313 943679 3863497 4220677 5061551 7923443 42498467 46427447 55677061 249019943 467483137 510701917 2739219373 5617721087 30131413103 331445544133