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312220323133 = 6124121238033
BaseRepresentation
bin1001000101100011100…
…10000000110100111101
31002211220011121202121121
410202301302000310331
520103411400320013
6355233153030541
731362052646515
oct4426162006475
91084804552547
10312220323133
11110459261a04
1250615b55451
1323599814c44
141117c112845
1581c545058d
hex48b1c80d3d

312220323133 has 8 divisors (see below), whose sum is σ = 318655462136. Its totient is φ = 305827660800.

The previous prime is 312220323127. The next prime is 312220323139. The reversal of 312220323133 is 331323022213.

It is an interprime number because it is at equal distance from previous prime (312220323127) and next prime (312220323139).

It can be written as a sum of positive squares in 4 ways, for example, as 3487847364 + 308732475769 = 59058^2 + 555637^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312220323133 - 25 = 312220323101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312220323098 and 312220323107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220323139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10604316 + ... + 10633717.

It is an arithmetic number, because the mean of its divisors is an integer number (39831932767).

Almost surely, 2312220323133 is an apocalyptic number.

It is an amenable number.

312220323133 is a deficient number, since it is larger than the sum of its proper divisors (6435139003).

312220323133 is a wasteful number, since it uses less digits than its factorization.

312220323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21238335.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 312220323133 its reverse (331323022213), we get a palindrome (643543345346).

The spelling of 312220323133 in words is "three hundred twelve billion, two hundred twenty million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 61 241 14701 21238033 1295520013 5118365953 312220323133