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312313144311 = 357226229373
BaseRepresentation
bin1001000101101110101…
…00000110001111110111
31002212010122021120100000
410202313110012033313
520104104131104221
6355250310322343
731364260632300
oct4426724061767
91085118246300
10312313144311
111104a669a923
12506410593b3
13235b2b1400c
141118a5957a7
1581cd687e26
hex48b75063f7

312313144311 has 36 divisors (see below), whose sum is σ = 544207051752. Its totient is φ = 178464647088.

The previous prime is 312313144229. The next prime is 312313144337. The reversal of 312313144311 is 113441313213.

312313144311 is a `hidden beast` number, since 3 + 1 + 2 + 31 + 314 + 4 + 311 = 666.

It is not a de Polignac number, because 312313144311 - 215 = 312313111543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313144511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13102780 + ... + 13126593.

Almost surely, 2312313144311 is an apocalyptic number.

312313144311 is a deficient number, since it is larger than the sum of its proper divisors (231893907441).

312313144311 is an equidigital number, since it uses as much as digits as its factorization.

312313144311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26229402 (or 26229383 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 312313144311 its reverse (113441313213), we get a palindrome (425754457524).

The spelling of 312313144311 in words is "three hundred twelve billion, three hundred thirteen million, one hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 1323 1701 3969 11907 26229373 78688119 183605611 236064357 550816833 708193071 1285239277 1652450499 2124579213 3855717831 4957351497 6373737639 11567153493 14872054491 34701460479 44616163473 104104381437 312313144311