Search a number
-
+
103101230100 = 2235211612392143
BaseRepresentation
bin110000000000101001…
…1111110110000010100
3100212010022011011011210
41200001103332300110
53142122403330400
6115210345101420
710306641665451
oct1400123766024
9325108134153
10103101230100
113a7a7a58190
1217b94487870
13995117863b
144dc0c98828
152a36627950
hex18014fec14

103101230100 has 288 divisors, whose sum is σ = 332298731520. Its totient is φ = 24470208000.

The previous prime is 103101230093. The next prime is 103101230189. The reversal of 103101230100 is 1032101301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48109629 + ... + 48111771.

It is an arithmetic number, because the mean of its divisors is an integer number (1153815040).

Almost surely, 2103101230100 is an apocalyptic number.

103101230100 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 103101230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166149365760).

103101230100 is an abundant number, since it is smaller than the sum of its proper divisors (229197501420).

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

103101230100 is a wasteful number, since it uses less digits than its factorization.

103101230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103101230100 its reverse (1032101301), we get a palindrome (104133331401).

The spelling of 103101230100 in words is "one hundred three billion, one hundred one million, two hundred thirty thousand, one hundred".