Search a number
-
+
321025042332 = 2232611259116113
BaseRepresentation
bin1001010101111101001…
…01010110011110011100
31010200121210020211201200
410222332211112132130
520224424402323312
6403251000435500
732123204560011
oct4527645263634
91120553224650
10321025042332
111141672a3845
1252272778b90
13243709a0c67
1411775613708
15853d4060dc
hex4abe95679c

321025042332 has 72 divisors (see below), whose sum is σ = 825445136880. Its totient is φ = 105169605120.

The previous prime is 321025042309. The next prime is 321025042333. The reversal of 321025042332 is 233240520123.

321025042332 is a `hidden beast` number, since 3 + 2 + 102 + 504 + 23 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 321025042296 and 321025042305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321025042333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2706708 + ... + 2822820.

It is an arithmetic number, because the mean of its divisors is an integer number (11464515790).

Almost surely, 2321025042332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321025042332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412722568440).

321025042332 is an abundant number, since it is smaller than the sum of its proper divisors (504420094548).

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

321025042332 is a wasteful number, since it uses less digits than its factorization.

321025042332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117443 (or 117438 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 321025042332 its reverse (233240520123), we get a palindrome (554265562455).

The spelling of 321025042332 in words is "three hundred twenty-one billion, twenty-five million, forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 1259 2196 2518 3777 5036 7554 11331 15108 22662 45324 76799 116113 153598 230397 232226 307196 348339 460794 464452 691191 696678 921588 1045017 1382382 1393356 2090034 2764764 4180068 7082893 14165786 21248679 28331572 42497358 63746037 84994716 127492074 146186267 254984148 292372534 438558801 584745068 877117602 1315676403 1754235204 2631352806 5262705612 8917362287 17834724574 26752086861 35669449148 53504173722 80256260583 107008347444 160512521166 321025042332