Search a number
-
+
120303020000 = 255429415059
BaseRepresentation
bin111000000001010011…
…1100110011111100000
3102111112010100121210102
41300002213212133200
53432340033120000
6131133315121532
711456135540432
oct1600247463740
9374463317712
10120303020000
1147024a11579
121b3952a32a8
13b462c01947
145b736a4652
1531e18ae3d5
hex1c029e67e0

120303020000 has 240 divisors, whose sum is σ = 313698646800. Its totient is φ = 45319680000.

The previous prime is 120303019973. The next prime is 120303020017. The reversal of 120303020000 is 20303021.

It is a super-2 number, since 2×1203030200002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23777471 + ... + 23782529.

It is an arithmetic number, because the mean of its divisors is an integer number (1307077695).

Almost surely, 2120303020000 is an apocalyptic number.

120303020000 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 120303020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156849323400).

120303020000 is an abundant number, since it is smaller than the sum of its proper divisors (193395626800).

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

120303020000 is an equidigital number, since it uses as much as digits as its factorization.

120303020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 120303020000 its reverse (20303021), we get a palindrome (120323323021).

The spelling of 120303020000 in words is "one hundred twenty billion, three hundred three million, twenty thousand".