Search a number
-
+
2110135104 = 263371115859
BaseRepresentation
bin111110111000110…
…0001101101000000
312110001120222012000
41331301201231000
513310143310404
6545215304000
7103201565250
oct17561415500
95401528160
102110135104
11993130810
124aa81b000
1327822906c
14160367960
15c53ba339
hex7dc61b40

2110135104 has 224 divisors, whose sum is σ = 7734604800. Its totient is φ = 548052480.

The previous prime is 2110135103. The next prime is 2110135121. The reversal of 2110135104 is 4015310112.

It is a tau number, because it is divible by the number of its divisors (224).

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 (2110135103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125127 + ... + 140985.

Almost surely, 22110135104 is an apocalyptic number.

2110135104 is a gapful number since it is divisible by the number (24) 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 2110135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867302400).

2110135104 is an abundant number, since it is smaller than the sum of its proper divisors (5624469696).

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

2110135104 is a wasteful number, since it uses less digits than its factorization.

2110135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15898 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2110135104 is about 45936.2068960858. The cubic root of 2110135104 is about 1282.6359870851.

Adding to 2110135104 its reverse (4015310112), we get a palindrome (6125445216).

The spelling of 2110135104 in words is "two billion, one hundred ten million, one hundred thirty-five thousand, one hundred four".