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2120410313 = 72910445371
BaseRepresentation
bin111111001100010…
…1110010011001001
312110202221000010022
41332120232103021
513320311112223
6550223430225
7103355122160
oct17630562311
95422830108
102120410313
11998a0971a
124b2155375
1327a3b5c78
141618803d7
15c6249ac8
hex7e62e4c9

2120410313 has 8 divisors (see below), whose sum is σ = 2506889280. Its totient is φ = 1754822160.

The previous prime is 2120410307. The next prime is 2120410343. The reversal of 2120410313 is 3130140212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2120410313 - 24 = 2120410297 is a prime.

It is a super-2 number, since 2×21204103132 = 8992279790953515938, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2120410291 and 2120410300.

It is not an unprimeable number, because it can be changed into a prime (2120410343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5222483 + ... + 5222888.

It is an arithmetic number, because the mean of its divisors is an integer number (313361160).

Almost surely, 22120410313 is an apocalyptic number.

It is an amenable number.

2120410313 is a deficient number, since it is larger than the sum of its proper divisors (386478967).

2120410313 is a wasteful number, since it uses less digits than its factorization.

2120410313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445407.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2120410313 is about 46047.9132317633. The cubic root of 2120410313 is about 1284.7145298929.

Adding to 2120410313 its reverse (3130140212), we get a palindrome (5250550525).

The spelling of 2120410313 in words is "two billion, one hundred twenty million, four hundred ten thousand, three hundred thirteen".

Divisors: 1 7 29 203 10445371 73117597 302915759 2120410313