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312322320321 = 311219115139343
BaseRepresentation
bin1001000101101111101…
…11000110011111000001
31002212011021112202110020
410202313313012133001
520104114003222241
6355251235124053
731364431630434
oct4426767063701
91085137482406
10312322320321
11110500897a00
1250644143629
13235b49a77cb
141118b8a381b
1581ce39bb66
hex48b7dc67c1

312322320321 has 48 divisors (see below), whose sum is σ = 482250424320. Its totient is φ = 179163468000.

The previous prime is 312322320293. The next prime is 312322320433. The reversal of 312322320321 is 123023223213.

It is not a de Polignac number, because 312322320321 - 227 = 312188102593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312322320291 and 312322320300.

It is not an unprimeable number, because it can be changed into a prime (312322320721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7918776 + ... + 7958118.

It is an arithmetic number, because the mean of its divisors is an integer number (10046883840).

Almost surely, 2312322320321 is an apocalyptic number.

It is an amenable number.

312322320321 is a deficient number, since it is larger than the sum of its proper divisors (169928103999).

312322320321 is a wasteful number, since it uses less digits than its factorization.

312322320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40538 (or 40527 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312322320321 its reverse (123023223213), we get a palindrome (435345543534).

The spelling of 312322320321 in words is "three hundred twelve billion, three hundred twenty-two million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 11 19 33 57 121 209 363 627 1151 2299 3453 6897 12661 21869 37983 39343 65607 118029 139271 240559 417813 432773 721677 747517 1298319 2242551 2646149 4760503 7938447 8222687 14281509 24668061 45283793 90449557 135851379 271348671 498121723 860392067 1494365169 2581176201 5479338953 9464312737 16438016859 28392938211 104107440107 312322320321