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311093505 = 3256913189
BaseRepresentation
bin10010100010101…
…110100100000001
3210200101012001200
4102202232210001
51114114443010
650511451413
710465152102
oct2242564401
9720335050
10311093505
1114a671178
1288226b69
134c5b32c8
142d4603a9
151c4a0cc0
hex128ae901

311093505 has 12 divisors (see below), whose sum is σ = 539228820. Its totient is φ = 165916512.

The previous prime is 311093491. The next prime is 311093507. The reversal of 311093505 is 505390113.

It can be written as a sum of positive squares in 2 ways, for example, as 161569521 + 149523984 = 12711^2 + 12228^2 .

It is not a de Polignac number, because 311093505 - 211 = 311091457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311093507) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3456550 + ... + 3456639.

It is an arithmetic number, because the mean of its divisors is an integer number (44935735).

Almost surely, 2311093505 is an apocalyptic number.

It is an amenable number.

311093505 is a deficient number, since it is larger than the sum of its proper divisors (228135315).

311093505 is a wasteful number, since it uses less digits than its factorization.

311093505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913200 (or 6913197 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 27.

The square root of 311093505 is about 17637.8429803647. The cubic root of 311093505 is about 677.5847889779.

The spelling of 311093505 in words is "three hundred eleven million, ninety-three thousand, five hundred five".

Divisors: 1 3 5 9 15 45 6913189 20739567 34565945 62218701 103697835 311093505