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2113260160 = 27511229941
BaseRepresentation
bin111110111110101…
…1100101010000000
312110021110201221211
41331331130222000
513311443311120
6545410255504
7103240262224
oct17575345200
95407421854
102113260160
11994975700
124ab887594
13278a815cb
1416093c784
15c57d625a
hex7df5ca80

2113260160 has 192 divisors, whose sum is σ = 5750627400. Its totient is φ = 741171200.

The previous prime is 2113260103. The next prime is 2113260179. The reversal of 2113260160 is 610623112.

It can be written as a sum of positive squares in 4 ways, for example, as 1806590016 + 306670144 = 42504^2 + 17512^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2245290 + ... + 2246230.

Almost surely, 22113260160 is an apocalyptic number.

2113260160 is a gapful number since it is divisible by the number (20) 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 2113260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875313700).

2113260160 is an abundant number, since it is smaller than the sum of its proper divisors (3637367240).

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

2113260160 is a wasteful number, since it uses less digits than its factorization.

2113260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2113260160 is about 45970.2094839691. The cubic root of 2113260160 is about 1283.2688584388.

Adding to 2113260160 its reverse (610623112), we get a palindrome (2723883272).

The spelling of 2113260160 in words is "two billion, one hundred thirteen million, two hundred sixty thousand, one hundred sixty".