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2310023120 = 24528875289
BaseRepresentation
bin1000100110110000…
…0010011111010000
312221222201022222212
42021230002133100
514212331214440
61021115451252
7111146605166
oct21154023720
95858638885
102310023120
11a85a47619
12545756b28
132aa7743b2
1417cb1b236
15d7c01465
hex89b027d0

2310023120 has 20 divisors (see below), whose sum is σ = 5370803940. Its totient is φ = 924009216.

The previous prime is 2310023117. The next prime is 2310023129. The reversal of 2310023120 is 213200132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1055730064 + 1254293056 = 32492^2 + 35416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2310023095 and 2310023104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310023129) 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 3 ways as a sum of consecutive naturals, for example, 14437565 + ... + 14437724.

It is an arithmetic number, because the mean of its divisors is an integer number (268540197).

Almost surely, 22310023120 is an apocalyptic number.

2310023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2310023120 is an abundant number, since it is smaller than the sum of its proper divisors (3060780820).

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

2310023120 is a wasteful number, since it uses less digits than its factorization.

2310023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28875302 (or 28875296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2310023120 is about 48062.6998825493. The cubic root of 2310023120 is about 1321.9208184727.

Adding to 2310023120 its reverse (213200132), we get a palindrome (2523223252).

The spelling of 2310023120 in words is "two billion, three hundred ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28875289 57750578 115501156 144376445 231002312 288752890 462004624 577505780 1155011560 2310023120