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311131022321 = 7311433783513
BaseRepresentation
bin1001000011100001101…
…10101010001111110001
31002202002020220112211002
410201300312222033301
520044144020203241
6354533121331345
731323055024430
oct4416066521761
91082066815732
10311131022321
1110aa4a3950a9
1250371196b55
1323454c3c152
14110b759b117
15815e9ce89b
hex4870daa3f1

311131022321 has 8 divisors (see below), whose sum is σ = 367048579584. Its totient is φ = 258081032160.

The previous prime is 311131022261. The next prime is 311131022333. The reversal of 311131022321 is 123220131113.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 311131022321 - 210 = 311131021297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311131022293 and 311131022302.

It is not an unprimeable number, because it can be changed into a prime (311131022351) 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 7 ways as a sum of consecutive naturals, for example, 716891540 + ... + 716891973.

It is an arithmetic number, because the mean of its divisors is an integer number (45881072448).

Almost surely, 2311131022321 is an apocalyptic number.

311131022321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

311131022321 is a deficient number, since it is larger than the sum of its proper divisors (55917557263).

311131022321 is a wasteful number, since it uses less digits than its factorization.

311131022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433783551.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 311131022321 its reverse (123220131113), we get a palindrome (434351153434).

The spelling of 311131022321 in words is "three hundred eleven billion, one hundred thirty-one million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 7 31 217 1433783513 10036484591 44447288903 311131022321