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312223221321 = 31124338951421
BaseRepresentation
bin1001000101100011111…
…01000100011001001001
31002211220101002000011220
410202301331010121021
520103413121040241
6355233335112253
731362116410164
oct4426175043111
91084811060156
10312223221321
1111045a961400
1250616b12689
132359a2bb14b
141117c668adb
1581c5824166
hex48b1f44649

312223221321 has 48 divisors (see below), whose sum is σ = 469437608640. Its totient is φ = 184346870400.

The previous prime is 312223221301. The next prime is 312223221347. The reversal of 312223221321 is 123122322213.

It is a de Polignac number, because none of the positive numbers 2k-312223221321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312223221291 and 312223221300.

It is not an unprimeable number, because it can be changed into a prime (312223221301) 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 47 ways as a sum of consecutive naturals, for example, 6046191 + ... + 6097611.

It is an arithmetic number, because the mean of its divisors is an integer number (9779950180).

Almost surely, 2312223221321 is an apocalyptic number.

It is an amenable number.

312223221321 is a deficient number, since it is larger than the sum of its proper divisors (157214387319).

312223221321 is a wasteful number, since it uses less digits than its factorization.

312223221321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51878 (or 51867 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 312223221321 its reverse (123122322213), we get a palindrome (435345543534).

The spelling of 312223221321 in words is "three hundred twelve billion, two hundred twenty-three million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 43 121 129 363 389 473 1167 1419 4279 5203 12837 15609 16727 47069 50181 51421 141207 154263 183997 551991 565631 1696893 2023967 2211103 6071901 6221941 6633309 18665823 20002769 24322133 60008307 72966399 220030459 267543463 660091377 802630389 860119067 2420335049 2580357201 7261005147 9461309737 28383929211 104074407107 312223221321