Search a number
-
+
101344110 = 23573713043
BaseRepresentation
bin1100000101001…
…10001101101110
321001200210222120
412002212031232
5201421002420
614020053410
72340260610
oct602461556
9231623876
10101344110
115222a36a
1229b34266
1317cc453a
14d660db0
158d6cd40
hex60a636e

101344110 has 64 divisors (see below), whose sum is σ = 285507072. Its totient is φ = 22536576.

The previous prime is 101344099. The next prime is 101344127. The reversal of 101344110 is 11443101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101344110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (4461048).

Almost surely, 2101344110 is an apocalyptic number.

101344110 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 101344110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142753536).

101344110 is an abundant number, since it is smaller than the sum of its proper divisors (184162962).

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

101344110 is a wasteful number, since it uses less digits than its factorization.

101344110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101344110 is about 10066.9811761024. The cubic root of 101344110 is about 466.2292369290.

Adding to 101344110 its reverse (11443101), we get a palindrome (112787211).

The spelling of 101344110 in words is "one hundred one million, three hundred forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 7770 13043 26086 39129 65215 78258 91301 130430 182602 195645 273903 391290 456505 482591 547806 913010 965182 1369515 1447773 2412955 2739030 2895546 3378137 4825910 6756274 7238865 10134411 14477730 16890685 20268822 33781370 50672055 101344110