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312320320002 = 23217351128889
BaseRepresentation
bin1001000101101111011…
…11011110001000000010
31002212011010210010112100
410202313233132020002
520104113000220002
6355251124211230
731364405626545
oct4426757361002
91085133703470
10312320320002
111104aa751049
1250643539b16
13235b44571a2
141118b50285c
1581ce10411c
hex48b7bde202

312320320002 has 12 divisors (see below), whose sum is σ = 676694026710. Its totient is φ = 104106773328.

The previous prime is 312320319989. The next prime is 312320320009. The reversal of 312320320002 is 200023023213.

It is a happy number.

312320320002 is a `hidden beast` number, since 312 + 32 + 0 + 320 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202859259201 + 109461060801 = 450399^2 + 330849^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17351128889 = 312320320002 / (3 + 1 + 2 + 3 + 2 + 0 + 3 + 2 + 0 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (312320320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8675564427 + ... + 8675564462.

Almost surely, 2312320320002 is an apocalyptic number.

312320320002 is an abundant number, since it is smaller than the sum of its proper divisors (364373706708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312320320002 is a wasteful number, since it uses less digits than its factorization.

312320320002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17351128897 (or 17351128894 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 312320320002 its reverse (200023023213), we get a palindrome (512343343215).

The spelling of 312320320002 in words is "three hundred twelve billion, three hundred twenty million, three hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 17351128889 34702257778 52053386667 104106773334 156160160001 312320320002