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311006053 = 3712896521
BaseRepresentation
bin10010100010011…
…001001101100101
3210200012202002201
4102202121031211
51114104143203
650505534501
710464336121
oct2242311545
9720182081
10311006053
1114a6114a6
12881a4431
134c582567
142d43a581
151c484e1d
hex12899365

311006053 has 8 divisors (see below), whose sum is σ = 319708440. Its totient is φ = 302319360.

The previous prime is 311006021. The next prime is 311006071. The reversal of 311006053 is 350600113.

It can be written as a sum of positive squares in 4 ways, for example, as 232471009 + 78535044 = 15247^2 + 8862^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 311006053 - 25 = 311006021 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311006053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311006083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44433 + ... + 50953.

It is an arithmetic number, because the mean of its divisors is an integer number (39963555).

Almost surely, 2311006053 is an apocalyptic number.

It is an amenable number.

311006053 is a deficient number, since it is larger than the sum of its proper divisors (8702387).

311006053 is a wasteful number, since it uses less digits than its factorization.

311006053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 311006053 is about 17635.3637047836. The cubic root of 311006053 is about 677.5212907077.

Adding to 311006053 its reverse (350600113), we get a palindrome (661606166).

It can be divided in two parts, 3110060 and 53, that added together give a palindrome (3110113).

The spelling of 311006053 in words is "three hundred eleven million, six thousand, fifty-three".

Divisors: 1 37 1289 6521 47693 241277 8405569 311006053