Search a number
-
+
310322230304130 = 234511109391981533
BaseRepresentation
bin100011010001111001000011…
…0010011011001110110000010
31111200202111220210100022210000
41012203302012103121312002
5311133304411424213010
63020000021535020430
7122236020104416242
oct10643620623316602
91450674823308700
10310322230304130
118a972a11a17310
122a97a63b06a716
1310420350b48745
14568b967277b22
1525d22d78d27c0
hex11a3c864d9d82

310322230304130 has 320 divisors, whose sum is σ = 918875395468800. Its totient is φ = 74519517473280.

The previous prime is 310322230304083. The next prime is 310322230304161. The reversal of 310322230304130 is 31403032223013.

310322230304130 is a `hidden beast` number, since 3 + 1 + 0 + 3 + 2 + 223 + 0 + 304 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 310322230304094 and 310322230304103.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3806052844 + ... + 3806134376.

It is an arithmetic number, because the mean of its divisors is an integer number (2871485610840).

Almost surely, 2310322230304130 is an apocalyptic number.

310322230304130 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 310322230304130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459437697734400).

310322230304130 is an abundant number, since it is smaller than the sum of its proper divisors (608553165164670).

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

310322230304130 is a wasteful number, since it uses less digits than its factorization.

310322230304130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85591 (or 85582 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 310322230304130 its reverse (31403032223013), we get a palindrome (341725262527143).

The spelling of 310322230304130 in words is "three hundred ten trillion, three hundred twenty-two billion, two hundred thirty million, three hundred four thousand, one hundred thirty".