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321023220330031 = 172337136116304213
BaseRepresentation
bin100100011111110000000101…
…1000000110010111000101111
31120002122112001011222111120021
41020333200023000302320233
5314034121023401030111
63054432010445103011
7124422106444020142
oct11077401300627057
91502575034874507
10321023220330031
119331920190004a
123000854ab57a67
1310a1848a59822b
14593b86cd80059
15271a83d78dd71
hex123f80b032e2f

321023220330031 has 32 divisors (see below), whose sum is σ = 364539268706688. Its totient is φ = 280985485271040.

The previous prime is 321023220330023. The next prime is 321023220330083. The reversal of 321023220330031 is 130033022320123.

It is not a de Polignac number, because 321023220330031 - 23 = 321023220330023 is a prime.

It is a super-2 number, since 2×3210232203300312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321023220329978 and 321023220330005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321023224330031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11537481 + ... + 27841693.

It is an arithmetic number, because the mean of its divisors is an integer number (11391852147084).

Almost surely, 2321023220330031 is an apocalyptic number.

321023220330031 is a deficient number, since it is larger than the sum of its proper divisors (43516048376657).

321023220330031 is a wasteful number, since it uses less digits than its factorization.

321023220330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305651.

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

Adding to 321023220330031 its reverse (130033022320123), we get a palindrome (451056242650154).

The spelling of 321023220330031 in words is "three hundred twenty-one trillion, twenty-three billion, two hundred twenty million, three hundred thirty thousand, thirty-one".

Divisors: 1 17 23 37 391 629 851 1361 14467 23137 31303 50357 532151 856069 1158211 16304213 19689587 277171621 374996899 603255881 6374947283 10255349977 13874885263 22190033893 235873049471 377230576181 510370779539 821031254041 8676303252163 13957531318697 18883718842943 321023220330031