Search a number
-
+
103319712 = 253643103
BaseRepresentation
bin1100010100010…
…00100010100000
321012102012000000
412022020202200
5202422212322
614130300000
72363126436
oct612104240
9235365000
10103319712
11533596a1
122a727600
1318536832
14da16d56
15910d3ac
hex62888a0

103319712 has 168 divisors, whose sum is σ = 315098784. Its totient is φ = 33312384.

The previous prime is 103319617. The next prime is 103319719. The reversal of 103319712 is 217913301.

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

It is not an unprimeable number, because it can be changed into a prime (103319719) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1003053 + ... + 1003155.

It is an arithmetic number, because the mean of its divisors is an integer number (1875588).

Almost surely, 2103319712 is an apocalyptic number.

103319712 is a gapful number since it is divisible by the number (12) 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 103319712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157549392).

103319712 is an abundant number, since it is smaller than the sum of its proper divisors (211779072).

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

103319712 is an equidigital number, since it uses as much as digits as its factorization.

103319712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 103319712 is about 10164.6304408965. The cubic root of 103319712 is about 469.2393187921.

The spelling of 103319712 in words is "one hundred three million, three hundred nineteen thousand, seven hundred twelve".