Search a number
-
+
323120131010304 = 2833765327416353
BaseRepresentation
bin100100101111000000100010…
…0101000001110111100000000
31120101001222112111100222210220
41021132001010220032330000
5314323000012014312204
63103115201114223040
7125026442031510525
oct11136010450167400
91511058474328726
10323120131010304
1193a5752925a331
12302a6a1a124a80
1310b3b1365b33a4
1459b115247714c
15275516966c1d9
hex125e044a0ef00

323120131010304 has 288 divisors, whose sum is σ = 885027768657984. Its totient is φ = 104580596367360.

The previous prime is 323120131010297. The next prime is 323120131010333. The reversal of 323120131010304 is 403010131021323.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50861027992 + ... + 50861034344.

It is an arithmetic number, because the mean of its divisors is an integer number (3073013085618).

Almost surely, 2323120131010304 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 323120131010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442513884328992).

323120131010304 is an abundant number, since it is smaller than the sum of its proper divisors (561907637647680).

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

323120131010304 is a wasteful number, since it uses less digits than its factorization.

323120131010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9789 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 323120131010304 its reverse (403010131021323), we get a palindrome (726130262031627).

The spelling of 323120131010304 in words is "three hundred twenty-three trillion, one hundred twenty billion, one hundred thirty-one million, ten thousand, three hundred four".