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311045554313 = 13173186174317
BaseRepresentation
bin1001000011010111100…
…00101000000010001001
31002201212022002022202022
410201223300220002021
520044010130214223
6354520425414225
731320666405524
oct4415360500211
91081768068668
10311045554313
1110aa0611978a
125034863a375
1323440315c70
14110aa0adbbb
15815724aac8
hex486bc28089

311045554313 has 16 divisors (see below), whose sum is σ = 337093962576. Its totient is φ = 285302096640.

The previous prime is 311045554307. The next prime is 311045554373. The reversal of 311045554313 is 313455540113.

It can be written as a sum of positive squares in 8 ways, for example, as 29038886464 + 282006667849 = 170408^2 + 531043^2 .

It is a cyclic number.

It is not a de Polignac number, because 311045554313 - 26 = 311045554249 is a prime.

It is a super-3 number, since 3×3110455543133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311045554373) 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, 4148231 + ... + 4222547.

It is an arithmetic number, because the mean of its divisors is an integer number (21068372661).

Almost surely, 2311045554313 is an apocalyptic number.

It is an amenable number.

311045554313 is a deficient number, since it is larger than the sum of its proper divisors (26048408263).

311045554313 is a wasteful number, since it uses less digits than its factorization.

311045554313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76364.

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 311045554313 in words is "three hundred eleven billion, forty-five million, five hundred fifty-four thousand, three hundred thirteen".

Divisors: 1 13 173 1861 2249 24193 74317 321953 966121 4185389 12856841 138303937 167138933 1797951181 23926581101 311045554313