Search a number
-
+
103230000 = 2432543137
BaseRepresentation
bin1100010011100…
…10101000110000
321012020121221100
412021302220300
5202411330000
614124324400
72362304046
oct611625060
9235217840
10103230000
11532a8255
122a6a3700
1318504a53
14d9d2396
1590e1a00
hex6272a30

103230000 has 300 divisors, whose sum is σ = 382727488. Its totient is φ = 25920000.

The previous prime is 103229989. The next prime is 103230013. The reversal of 103230000 is 32301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 2789982 + ... + 2790018.

Almost surely, 2103230000 is an apocalyptic number.

103230000 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 103230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191363744).

103230000 is an abundant number, since it is smaller than the sum of its proper divisors (279497488).

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

103230000 is a wasteful number, since it uses less digits than its factorization.

103230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

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

The square root of 103230000 is about 10160.2165331257. The cubic root of 103230000 is about 469.1034667304.

Adding to 103230000 its reverse (32301), we get a palindrome (103262301).

The spelling of 103230000 in words is "one hundred three million, two hundred thirty thousand".