Search a number
-
+
321232210320032 = 25112133834276777
BaseRepresentation
bin100100100001010001011001…
…1110010010101101010100000
31120010101111111001111222221022
41021002202303302111222200
5314101032031320220112
63055112012401545012
7124443155426434424
oct11102426362255240
91503344431458838
10321232210320032
11933998a7245850
1230040b55345168
1310a320b52713cb
145947a16dccb84
152720ec10b3d72
hex12428b3c95aa0

321232210320032 has 48 divisors (see below), whose sum is σ = 689922573544512. Its totient is φ = 146013922629120.

The previous prime is 321232210319989. The next prime is 321232210320059. The reversal of 321232210320032 is 230023012232123.

It is a junction number, because it is equal to n+sod(n) for n = 321232210319983 and 321232210320010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72972428 + ... + 77249204.

It is an arithmetic number, because the mean of its divisors is an integer number (14373386948844).

Almost surely, 2321232210320032 is an apocalyptic number.

321232210320032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321232210320032 is an abundant number, since it is smaller than the sum of its proper divisors (368690363224480).

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

321232210320032 is a wasteful number, since it uses less digits than its factorization.

321232210320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490181 (or 4490173 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 321232210320032 its reverse (230023012232123), we get a palindrome (551255222552155).

The spelling of 321232210320032 in words is "three hundred twenty-one trillion, two hundred thirty-two billion, two hundred ten million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 213383 426766 853532 1707064 2347213 3414128 4276777 4694426 6828256 8553554 9388852 17107108 18777704 34214216 37555408 47044547 68428432 75110816 94089094 136856864 188178188 376356376 752712752 1505425504 912591506591 1825183013182 3650366026364 7300732052728 10038506572501 14601464105456 20077013145002 29202928210912 40154026290004 80308052580008 160616105160016 321232210320032