Search a number
-
+
322323120330330 = 235743208726776389
BaseRepresentation
bin100100101001001101011001…
…1000101110001011001011010
31120021020210022110011102222210
41021102122303011301121122
5314221420222301032310
63101305110341255550
7124615035253510320
oct11122326305613132
91507223273142883
10322323120330330
119377a516530a59
1230198468a045b6
1310ab0c2aa4c042
145984745137d10
15273e56da0e820
hex12526b317165a

322323120330330 has 256 divisors, whose sum is σ = 905559696138240. Its totient is φ = 71887908492288.

The previous prime is 322323120330329. The next prime is 322323120330347. The reversal of 322323120330330 is 33033021323223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50449694776 + ... + 50449701164.

It is an arithmetic number, because the mean of its divisors is an integer number (3537342563040).

Almost surely, 2322323120330330 is an apocalyptic number.

322323120330330 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 322323120330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452779848069120).

322323120330330 is an abundant number, since it is smaller than the sum of its proper divisors (583236575807910).

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

322323120330330 is a wasteful number, since it uses less digits than its factorization.

322323120330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213.

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 322323120330330 its reverse (33033021323223), we get a palindrome (355356141653553).

The spelling of 322323120330330 in words is "three hundred twenty-two trillion, three hundred twenty-three billion, one hundred twenty million, three hundred thirty thousand, three hundred thirty".