Search a number
-
+
321213404323420 = 22578300327642151
BaseRepresentation
bin100100100001001000101001…
…0110111001001111001011100
31120010022200221102201101102021
41021002101102313021321130
5314100230023001322140
63055055222324105524
7124441621413212110
oct11102212267117134
91503280842641367
10321213404323420
11933919267a7194
12300393872352a4
1310a303a906b66b
145946b51515740
15272077009bb4a
hex1242452dc9e5c

321213404323420 has 48 divisors (see below), whose sum is σ = 770921486028288. Its totient is φ = 110128979246400.

The previous prime is 321213404323417. The next prime is 321213404323453. The reversal of 321213404323420 is 24323404312123.

It is a super-2 number, since 2×3212134043234202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200656 + ... + 25441495.

It is an arithmetic number, because the mean of its divisors is an integer number (16060864292256).

Almost surely, 2321213404323420 is an apocalyptic number.

It is an amenable number.

321213404323420 is an abundant number, since it is smaller than the sum of its proper divisors (449708081704868).

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

321213404323420 is a wasteful number, since it uses less digits than its factorization.

321213404323420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27725170 (or 27725168 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 321213404323420 its reverse (24323404312123), we get a palindrome (345536808635543).

The spelling of 321213404323420 in words is "three hundred twenty-one trillion, two hundred thirteen billion, four hundred four million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 83003 166006 332012 415015 581021 830030 1162042 1660060 2324084 2905105 5810210 11620420 27642151 55284302 110568604 138210755 193495057 276421510 386990114 552843020 773980228 967475285 1934950570 3869901140 2294381459453 4588762918906 9177525837812 11471907297265 16060670216171 22943814594530 32121340432342 45887629189060 64242680864684 80303351080855 160606702161710 321213404323420