Search a number
-
+
110102842080 = 25335711330997
BaseRepresentation
bin110011010001010100…
…1000000101011100000
3101112012020220220012000
41212202221000223200
53300442311421310
6122325222004000
710645310500410
oct1464251005340
9345166826160
10110102842080
1142770202970
1219409276600
13a4c88c71ca
145486b14640
152ce615e4c0
hex19a2a40ae0

110102842080 has 384 divisors, whose sum is σ = 480450216960. Its totient is φ = 22878443520.

The previous prime is 110102842079. The next prime is 110102842099. The reversal of 110102842080 is 80248201011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167142 + ... + 498138.

It is an arithmetic number, because the mean of its divisors is an integer number (1251172440).

Almost surely, 2110102842080 is an apocalyptic number.

110102842080 is a gapful number since it is divisible by the number (10) 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 110102842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240225108480).

110102842080 is an abundant number, since it is smaller than the sum of its proper divisors (370347374880).

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

110102842080 is a wasteful number, since it uses less digits than its factorization.

110102842080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331039 (or 331025 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 110102842080 in words is "one hundred ten billion, one hundred two million, eight hundred forty-two thousand, eighty".