Search a number
-
+
323130022330120 = 23517237232576269
BaseRepresentation
bin100100101111000101001001…
…0001100100111111100001000
31120101002221001211122002202021
41021132022102030213330020
5314323130241204030440
63103123514415414224
7125030242116365605
oct11136122214477410
91511087054562667
10323130022330120
1193a60744694305
12302a891a824374
1310b3c05190b155
1459b180ddc96ac
152755547c0d84a
hex125e292327f08

323130022330120 has 288 divisors, whose sum is σ = 794133657840600. Its totient is φ = 118305925005312.

The previous prime is 323130022330079. The next prime is 323130022330187. The reversal of 323130022330120 is 21033220031323.

It can be written as a sum of positive squares in 36 ways, for example, as 47182309247844 + 275947713082276 = 6868938^2 + 16611674^2 .

It is a super-2 number, since 2×3231300223301202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51544106346 + ... + 51544112614.

Almost surely, 2323130022330120 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 323130022330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397066828920300).

323130022330120 is an abundant number, since it is smaller than the sum of its proper divisors (471003635510480).

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

323130022330120 is a wasteful number, since it uses less digits than its factorization.

323130022330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645 (or 9587 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 323130022330120 its reverse (21033220031323), we get a palindrome (344163242361443).

The spelling of 323130022330120 in words is "three hundred twenty-three trillion, one hundred thirty billion, twenty-two million, three hundred thirty thousand, one hundred twenty".