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312010122321 = 32139249408571
BaseRepresentation
bin1001000101001010100…
…00001010010001010001
31002211100112002110022100
410202211100022101101
520102444042403241
6355200243431013
731353621165252
oct4424520122121
91084315073270
10312010122321
11110360641a27
1250577685469
13235650c8871
141115c236b29
1581b1c7d9b6
hex48a540a451

312010122321 has 12 divisors (see below), whose sum is σ = 453923601040. Its totient is φ = 206510295960.

The previous prime is 312010122317. The next prime is 312010122323. The reversal of 312010122321 is 123221010213.

312010122321 is a `hidden beast` number, since 312 + 0 + 10 + 1 + 22 + 321 = 666.

It is not a de Polignac number, because 312010122321 - 22 = 312010122317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312010122294 and 312010122303.

It is not an unprimeable number, because it can be changed into a prime (312010122323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124703035 + ... + 124705536.

Almost surely, 2312010122321 is an apocalyptic number.

It is an amenable number.

312010122321 is a deficient number, since it is larger than the sum of its proper divisors (141913478719).

312010122321 is a wasteful number, since it uses less digits than its factorization.

312010122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249408716 (or 249408713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312010122321 its reverse (123221010213), we get a palindrome (435231132534).

The spelling of 312010122321 in words is "three hundred twelve billion, ten million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 139 417 1251 249408571 748225713 2244677139 34667791369 104003374107 312010122321