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312275446101 = 347352811677
BaseRepresentation
bin1001000101101010001…
…00010010100101010101
31002212001000100022010000
410202311010102211111
520104020003233401
6355242442321513
731363322332053
oct4426504224525
91085030308100
10312275446101
11110487391683
12506304b9299
13235a8075098
14111855811d3
1581ca1dd186
hex48b5112955

312275446101 has 20 divisors (see below), whose sum is σ = 472875764812. Its totient is φ = 205331796288.

The previous prime is 312275446073. The next prime is 312275446123. The reversal of 312275446101 is 101644572213.

312275446101 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 7 + 544 + 6 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69827534001 + 242447912100 = 264249^2 + 492390^2 .

It is not a de Polignac number, because 312275446101 - 26 = 312275446037 is a prime.

It is a super-2 number, since 2×3122754461012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312275446141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26399926 + ... + 26411751.

Almost surely, 2312275446101 is an apocalyptic number.

It is an amenable number.

312275446101 is a deficient number, since it is larger than the sum of its proper divisors (160600318711).

312275446101 is an equidigital number, since it uses as much as digits as its factorization.

312275446101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52811762 (or 52811753 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 312275446101 in words is "three hundred twelve billion, two hundred seventy-five million, four hundred forty-six thousand, one hundred one".

Divisors: 1 3 9 27 73 81 219 657 1971 5913 52811677 158435031 475305093 1425915279 3855252421 4277745837 11565757263 34697271789 104091815367 312275446101