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12333003140 = 225616650157
BaseRepresentation
bin10110111110001101…
…01011000110000100
31011211111201110210002
423133012223012010
5200224222100030
65355443020432
7614423540243
oct133706530604
934744643702
1012333003140
115259727887
12248236a718
1312171494c3
1484dd4295a
154c2aed245
hex2df1ab184

12333003140 has 12 divisors (see below), whose sum is σ = 25899306636. Its totient is φ = 4933201248.

The previous prime is 12333003139. The next prime is 12333003143. The reversal of 12333003140 is 4130033321.

12333003140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9011325184 + 3321677956 = 94928^2 + 57634^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 616650157 = 12333003140 / (1 + 2 + 3 + 3 + 3 + 0 + 0 + 3 + 1 + 4 + 0).

It is not an unprimeable number, because it can be changed into a prime (12333003143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 308325059 + ... + 308325098.

It is an arithmetic number, because the mean of its divisors is an integer number (2158275553).

Almost surely, 212333003140 is an apocalyptic number.

12333003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333003140 is an abundant number, since it is smaller than the sum of its proper divisors (13566303496).

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

12333003140 is a wasteful number, since it uses less digits than its factorization.

12333003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616650166 (or 616650164 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12333003140 its reverse (4130033321), we get a palindrome (16463036461).

The spelling of 12333003140 in words is "twelve billion, three hundred thirty-three million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 616650157 1233300314 2466600628 3083250785 6166501570 12333003140