Search a number
-
+
110116149990 = 235711713831753
BaseRepresentation
bin110011010001101101…
…1110001101011100110
3101112020011222000012120
41212203123301223212
53301004213244430
6122330415130410
710645531555110
oct1464333615346
9345204860176
10110116149990
1142777772340
1219411813a06
13a4cb5a6602
1454887ba3b0
152ce73dc610
hex19a36f1ae6

110116149990 has 256 divisors, whose sum is σ = 335194619904. Its totient is φ = 22487270400.

The previous prime is 110116149989. The next prime is 110116150019. The reversal of 110116149990 is 99941611011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62814954 + ... + 62816706.

It is an arithmetic number, because the mean of its divisors is an integer number (1309353984).

Almost surely, 2110116149990 is an apocalyptic number.

110116149990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110116149990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167597309952).

110116149990 is an abundant number, since it is smaller than the sum of its proper divisors (225078469914).

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

110116149990 is a wasteful number, since it uses less digits than its factorization.

110116149990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235.

The product of its (nonzero) digits is 17496, while the sum is 42.

The spelling of 110116149990 in words is "one hundred ten billion, one hundred sixteen million, one hundred forty-nine thousand, nine hundred ninety".