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311014405 = 513171491889
BaseRepresentation
bin10010100010011…
…011010000000101
3210200020011120001
4102202123100011
51114104430110
650510041301
710464402352
oct2242332005
9720204501
10311014405
1114a6177a9
12881a9231
134c5862c0
142d43d629
151c48763a
hex1289b405

311014405 has 32 divisors (see below), whose sum is σ = 428652000. Its totient is φ = 214597632.

The previous prime is 311014393. The next prime is 311014411. The reversal of 311014405 is 504410113.

It can be written as a sum of positive squares in 16 ways, for example, as 140920641 + 170093764 = 11871^2 + 13042^2 .

It is a cyclic number.

It is not a de Polignac number, because 311014405 - 211 = 311012357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163701 + ... + 165589.

It is an arithmetic number, because the mean of its divisors is an integer number (13395375).

Almost surely, 2311014405 is an apocalyptic number.

It is an amenable number.

311014405 is a deficient number, since it is larger than the sum of its proper divisors (117637595).

311014405 is a wasteful number, since it uses less digits than its factorization.

311014405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 311014405 is about 17635.6005001247. The cubic root of 311014405 is about 677.5273555491.

Adding to 311014405 its reverse (504410113), we get a palindrome (815424518).

The spelling of 311014405 in words is "three hundred eleven million, fourteen thousand, four hundred five".

Divisors: 1 5 13 17 65 85 149 221 745 1105 1889 1937 2533 9445 9685 12665 24557 32113 32929 122785 160565 164645 281461 417469 1407305 2087345 3658993 4784837 18294965 23924185 62202881 311014405