Search a number
-
+
310223113020 = 2232537715691153
BaseRepresentation
bin1001000001110101011…
…11010000101100111100
31002122201222111222101200
410200322233100230330
520040314104104040
6354303045535500
731261421644512
oct4407257205474
91078658458350
10310223113020
1110a623950437
1250159114590
132333bb06702
141102cb824b2
158109e3e630
hex483abd0b3c

310223113020 has 288 divisors, whose sum is σ = 982628599680. Its totient is φ = 79148482560.

The previous prime is 310223113019. The next prime is 310223113027. The reversal of 310223113020 is 20311322013.

310223113020 is a `hidden beast` number, since 31 + 0 + 22 + 311 + 302 + 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 = 310223112984 and 310223113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310223113027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269056764 + ... + 269057916.

It is an arithmetic number, because the mean of its divisors is an integer number (3411904860).

Almost surely, 2310223113020 is an apocalyptic number.

310223113020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310223113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491314299840).

310223113020 is an abundant number, since it is smaller than the sum of its proper divisors (672405486660).

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

310223113020 is a wasteful number, since it uses less digits than its factorization.

310223113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 310223113020 its reverse (20311322013), we get a palindrome (330534435033).

The spelling of 310223113020 in words is "three hundred ten billion, two hundred twenty-three million, one hundred thirteen thousand, twenty".