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311341242003 = 31167280150273
BaseRepresentation
bin1001000011111010110…
…00100101011010010011
31002202121220110211000020
410201331120211122103
520100111324221003
6355010031154523
731331216615001
oct4417530453223
91082556424006
10311341242003
11110048018280
125040b675a43
1323489663cac
14110d747da71
1581731a6d53
hex487d625693

311341242003 has 32 divisors (see below), whose sum is σ = 459792329472. Its totient is φ = 185805312000.

The previous prime is 311341241927. The next prime is 311341242011. The reversal of 311341242003 is 300242143113.

It is a happy number.

It is not a de Polignac number, because 311341242003 - 213 = 311341233811 is a prime.

It is a super-2 number, since 2×3113412420032 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311341244003) 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, 6167875 + ... + 6218147.

It is an arithmetic number, because the mean of its divisors is an integer number (14368510296).

Almost surely, 2311341242003 is an apocalyptic number.

311341242003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

311341242003 is a deficient number, since it is larger than the sum of its proper divisors (148451087469).

311341242003 is a wasteful number, since it uses less digits than its factorization.

311341242003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53155.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311341242003 its reverse (300242143113), we get a palindrome (611583385116).

The spelling of 311341242003 in words is "three hundred eleven billion, three hundred forty-one million, two hundred forty-two thousand, three".

Divisors: 1 3 11 33 67 201 737 2211 2801 8403 30811 50273 92433 150819 187667 553003 563001 1659009 2064337 3368291 6193011 10104873 37051201 111153603 140814673 422444019 1548961403 4646884209 9434583091 28303749273 103780414001 311341242003