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321013112021322 = 237231291293987583
BaseRepresentation
bin100100011111101011011000…
…0100000101010000101001010
31120002121112221201102012211020
41020333112300200222011022
5314033434323134140242
63054423215433013310
7124421301112556310
oct11077266040520512
91502545851365736
10321013112021322
1193314994a3a106
12300065a9854236
1310a17539318486
14593b1906a60b0
15271a44b1396ec
hex123f5b082a14a

321013112021322 has 128 divisors (see below), whose sum is σ = 766508710625280. Its totient is φ = 87631508352960.

The previous prime is 321013112021269. The next prime is 321013112021359. The reversal of 321013112021322 is 223120211310123.

It is a super-2 number, since 2×3210131120213222 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321013112021292 and 321013112021301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3665200743 + ... + 3665288325.

It is an arithmetic number, because the mean of its divisors is an integer number (5988349301760).

Almost surely, 2321013112021322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321013112021322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383254355312640).

321013112021322 is an abundant number, since it is smaller than the sum of its proper divisors (445495598603958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321013112021322 is a wasteful number, since it uses less digits than its factorization.

321013112021322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91848.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 321013112021322 its reverse (223120211310123), we get a palindrome (544133323331445).

The spelling of 321013112021322 in words is "three hundred twenty-one trillion, thirteen billion, one hundred twelve million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1291 2582 2939 3873 5878 7746 8817 9037 17634 18074 20573 27111 29693 41146 54222 59386 61719 67597 87583 89079 123438 135194 175166 178158 202791 207851 262749 405582 415702 473179 525498 613081 623553 946358 1226162 1247106 1419537 1839243 2014409 2839074 3678486 3794249 4028818 6043227 7588498 11382747 12086454 14100863 22765494 26559743 28201726 42302589 53119486 79679229 84605178 87267727 113069653 159358458 174535454 226139306 257406437 261803181 339208959 514812874 523606362 610874089 678417918 772219311 791487571 1221748178 1544438622 1582975142 1801845059 1832622267 2374462713 2600602019 3603690118 3665244534 4748925426 5201204038 5405535177 5920348051 7801806057 10811070354 11840696102 15603612114 17761044153 18204214133 35522088306 36408428266 41442436357 54612642399 82884872714 109225284798 124327309071 248654618142 332311710167 664623420334 996935130501 1993870261002 2326181971169 4652363942338 6978545913507 7643169333841 13957091827014 15286338667682 22929508001523 45859016003046 53502185336887 107004370673774 160506556010661 321013112021322