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2320130142 = 234118914629
BaseRepresentation
bin1000101001001010…
…0110000001011110
312222200201211020000
42022102212001132
514222423131032
61022120235130
7111331531551
oct21222460136
95880654200
102320130142
11a90720130
1254900baa6
132ac8a2895
141801cc698
15d8a4ae7c
hex8a4a605e

2320130142 has 80 divisors (see below), whose sum is σ = 5735545200. Its totient is φ = 695122560.

The previous prime is 2320130093. The next prime is 2320130149. The reversal of 2320130142 is 2410310232.

2320130142 is a `hidden beast` number, since 2 + 320 + 1 + 301 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320130149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151284 + ... + 165912.

It is an arithmetic number, because the mean of its divisors is an integer number (71694315).

Almost surely, 22320130142 is an apocalyptic number.

2320130142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320130142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867772600).

2320130142 is an abundant number, since it is smaller than the sum of its proper divisors (3415415058).

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

2320130142 is a wasteful number, since it uses less digits than its factorization.

2320130142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743 (or 14734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2320130142 is about 48167.7292593288. The cubic root of 2320130142 is about 1323.8459426966.

Adding to 2320130142 its reverse (2410310232), we get a palindrome (4730440374).

The spelling of 2320130142 in words is "two billion, three hundred twenty million, one hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 89 99 162 178 198 267 297 534 594 801 891 979 1602 1782 1958 2403 2937 4806 5874 7209 8811 14418 14629 17622 26433 29258 43887 52866 79299 87774 131661 158598 160919 263322 321838 394983 482757 789966 965514 1184949 1301981 1448271 2369898 2603962 2896542 3905943 4344813 7811886 8689626 11717829 13034439 14321791 23435658 26068878 28643582 35153487 42965373 70306974 85930746 105460461 128896119 210920922 257792238 386688357 773376714 1160065071 2320130142