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311000313 = 31337321379
BaseRepresentation
bin10010100010010…
…111110011111001
3210200012110020010
4102202113303321
51114104002223
650505452133
710464313311
oct2242276371
9720173203
10311000313
1114a608158
12881a1049
134c57ca70
142d438441
151c483393
hex12897cf9

311000313 has 16 divisors (see below), whose sum is σ = 447782720. Its totient is φ = 190862784.

The previous prime is 311000309. The next prime is 311000351. The reversal of 311000313 is 313000113.

It is not a de Polignac number, because 311000313 - 22 = 311000309 is a prime.

It is a super-3 number, since 3×3110003133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311000353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3858 + ... + 25236.

It is an arithmetic number, because the mean of its divisors is an integer number (27986420).

Almost surely, 2311000313 is an apocalyptic number.

It is an amenable number.

311000313 is a deficient number, since it is larger than the sum of its proper divisors (136782407).

311000313 is a wasteful number, since it uses less digits than its factorization.

311000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21768.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 311000313 is about 17635.2009628470. The cubic root of 311000313 is about 677.5171225186.

Adding to 311000313 its reverse (313000113), we get a palindrome (624000426).

The spelling of 311000313 in words is "three hundred eleven million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 13 39 373 1119 4849 14547 21379 64137 277927 833781 7974367 23923101 103666771 311000313