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12430202020 = 2257328373001
BaseRepresentation
bin10111001001110010…
…11101010010100100
31012002021121200120121
423210321131102210
5200424112431040
65413234211324
7620013655015
oct134471352244
935067550517
1012430202020
1152a9585835
1224aaa23b44
13123131c032
1485cc0500c
154cb3ecc4a
hex2e4e5d4a4

12430202020 has 48 divisors (see below), whose sum is σ = 26479153008. Its totient is φ = 4900608000.

The previous prime is 12430202009. The next prime is 12430202023. The reversal of 12430202020 is 2020203421.

12430202020 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 8 ways, for example, as 1212850276 + 11217351744 = 34826^2 + 105912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12430201985 and 12430202003.

It is not an unprimeable number, because it can be changed into a prime (12430202023) 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 15 ways as a sum of consecutive naturals, for example, 4140520 + ... + 4143520.

It is an arithmetic number, because the mean of its divisors is an integer number (551649021).

Almost surely, 212430202020 is an apocalyptic number.

12430202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12430202020 is an abundant number, since it is smaller than the sum of its proper divisors (14048950988).

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

12430202020 is a wasteful number, since it uses less digits than its factorization.

12430202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12430202020 its reverse (2020203421), we get a palindrome (14450405441).

The spelling of 12430202020 in words is "twelve billion, four hundred thirty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 2837 3001 5674 6002 11348 12004 14185 15005 28370 30010 56740 60020 207101 219073 414202 438146 828404 876292 1035505 1095365 2071010 2190730 4142020 4381460 8513837 17027674 34055348 42569185 85138370 170276740 621510101 1243020202 2486040404 3107550505 6215101010 12430202020