Search a number
-
+
103300200 = 23325257389
BaseRepresentation
bin1100010100000…
…11110001101000
321012101012020100
412022003301220
5202421101300
614130025400
72363015523
oct612036150
9235335210
10103300200
1153345a73
122a718260
131852a9a3
14da0dbba
159107700
hex6283c68

103300200 has 72 divisors (see below), whose sum is σ = 346922550. Its totient is φ = 27546240.

The previous prime is 103300187. The next prime is 103300229. The reversal of 103300200 is 2003301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 85710564 + 17589636 = 9258^2 + 4194^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 26895 + ... + 30494.

Almost surely, 2103300200 is an apocalyptic number.

103300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103300200 is an abundant number, since it is smaller than the sum of its proper divisors (243622350).

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

103300200 is a wasteful number, since it uses less digits than its factorization.

103300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57411 (or 57399 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 103300200 is about 10163.6705967874. The cubic root of 103300200 is about 469.2097782078.

Adding to 103300200 its reverse (2003301), we get a palindrome (105303501).

The spelling of 103300200 in words is "one hundred three million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 57389 114778 172167 229556 286945 344334 459112 516501 573890 688668 860835 1033002 1147780 1377336 1434725 1721670 2066004 2295560 2582505 2869450 3443340 4132008 4304175 5165010 5738900 6886680 8608350 10330020 11477800 12912525 17216700 20660040 25825050 34433400 51650100 103300200