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334022304133 = 728976593053
BaseRepresentation
bin1001101110001010100…
…01111110000110000101
31011221011120220011002101
410313011101332012011
520433034202213013
6413240413112101
733063245511400
oct4670521760605
91157146804071
10334022304133
11119726978a21
125489b488631
132566262450b
1412249868d37
158a4e4b68dd
hex4dc547e185

334022304133 has 12 divisors (see below), whose sum is σ = 392922367020. Its totient is φ = 283087920192.

The previous prime is 334022304131. The next prime is 334022304137. The reversal of 334022304133 is 331403220433.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68836442689 + 265185861444 = 262367^2 + 514962^2 .

It is not a de Polignac number, because 334022304133 - 21 = 334022304131 is a prime.

It is a super-2 number, since 2×3340223041332 (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 (334022304131) 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 11 ways as a sum of consecutive naturals, for example, 38292166 + ... + 38300887.

It is an arithmetic number, because the mean of its divisors is an integer number (32743530585).

Almost surely, 2334022304133 is an apocalyptic number.

It is an amenable number.

334022304133 is a deficient number, since it is larger than the sum of its proper divisors (58900062887).

334022304133 is an equidigital number, since it uses as much as digits as its factorization.

334022304133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76593156 (or 76593149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 334022304133 its reverse (331403220433), we get a palindrome (665425524566).

The spelling of 334022304133 in words is "three hundred thirty-four billion, twenty-two million, three hundred four thousand, one hundred thirty-three".

Divisors: 1 7 49 89 623 4361 76593053 536151371 3753059597 6816781717 47717472019 334022304133