Search a number
-
+
321032013030 = 232523895413221
BaseRepresentation
bin1001010101111101111…
…11111100010011100110
31010200122021100222201200
410222332333330103212
520224433143404110
6403251410103330
732123321041521
oct4527677742346
91120567328650
10321032013030
11114170224a53
1252274b7ab46
1324372271a31
1411776509bb8
15853dd316c0
hex4abeffc4e6

321032013030 has 192 divisors, whose sum is σ = 882662002560. Its totient is φ = 80791603200.

The previous prime is 321032013013. The next prime is 321032013073. The reversal of 321032013030 is 30310230123.

321032013030 is a `hidden beast` number, since 3 + 210 + 320 + 130 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321032012994 and 321032013012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99666820 + ... + 99670040.

It is an arithmetic number, because the mean of its divisors is an integer number (4597197930).

Almost surely, 2321032013030 is an apocalyptic number.

321032013030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321032013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441331001280).

321032013030 is an abundant number, since it is smaller than the sum of its proper divisors (561629989530).

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

321032013030 is a wasteful number, since it uses less digits than its factorization.

321032013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 321032013030 its reverse (30310230123), we get a palindrome (351342243153).

The spelling of 321032013030 in words is "three hundred twenty-one billion, thirty-two million, thirteen thousand, thirty".