Search a number
-
+
120321300 = 2235211192101
BaseRepresentation
bin1110010101111…
…11010100010100
322101101221210110
413022333110110
5221300240200
615534523020
72660466651
oct712772424
9271357713
10120321300
1161a111a0
1234366470
131bc0a248
1411da0c28
15a86ab50
hex72bf514

120321300 has 216 divisors, whose sum is σ = 404786592. Its totient is φ = 27360000.

The previous prime is 120321287. The next prime is 120321307. The reversal of 120321300 is 3123021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120321307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1191250 + ... + 1191350.

It is an arithmetic number, because the mean of its divisors is an integer number (1874012).

Almost surely, 2120321300 is an apocalyptic number.

120321300 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 120321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202393296).

120321300 is an abundant number, since it is smaller than the sum of its proper divisors (284465292).

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

120321300 is a wasteful number, since it uses less digits than its factorization.

120321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120321300 is about 10969.1066181344. The cubic root of 120321300 is about 493.6822414094.

Adding to 120321300 its reverse (3123021), we get a palindrome (123444321).

The spelling of 120321300 in words is "one hundred twenty million, three hundred twenty-one thousand, three hundred".