Search a number
-
+
103320220 = 225172291327
BaseRepresentation
bin1100010100010…
…00101010011100
321012102012200211
412022020222130
5202422221340
614130302204
72363131063
oct612105234
9235365624
10103320220
115335a013
122a727964
1318536b33
14da171da
15910d5ea
hex6288a9c

103320220 has 48 divisors (see below), whose sum is σ = 230912640. Its totient is φ = 38697984.

The previous prime is 103320211. The next prime is 103320223. The reversal of 103320220 is 22023301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103320220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103320223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77197 + ... + 78523.

It is an arithmetic number, because the mean of its divisors is an integer number (4810680).

Almost surely, 2103320220 is an apocalyptic number.

103320220 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 103320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115456320).

103320220 is an abundant number, since it is smaller than the sum of its proper divisors (127592420).

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

103320220 is a wasteful number, since it uses less digits than its factorization.

103320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 103320220 is about 10164.6554294772. The cubic root of 103320220 is about 469.2400878392.

Adding to 103320220 its reverse (22023301), we get a palindrome (125343521).

The spelling of 103320220 in words is "one hundred three million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1145 1327 2290 2654 3893 4580 5308 6635 7786 13270 15572 19465 22559 26540 38930 45118 77860 90236 112795 225590 303883 451180 607766 1215532 1519415 3038830 5166011 6077660 10332022 20664044 25830055 51660110 103320220