Search a number
-
+
12420203103 = 32711314159239
BaseRepresentation
bin10111001000100110…
…10100001001011111
31012001120210200122100
423210103110021133
5200414032444403
65412240020143
7616532661450
oct134423241137
935046720570
1012420203103
1152a3976470
1224a7601653
13122c22ab09
1485b761127
154ca5c52a3
hex2e44d425f

12420203103 has 192 divisors, whose sum is σ = 24153292800. Its totient is φ = 5963328000.

The previous prime is 12420203099. The next prime is 12420203123. The reversal of 12420203103 is 30130202421.

12420203103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12420203103 - 22 = 12420203099 is a prime.

It is a super-2 number, since 2×124202031032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420203123) 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 191 ways as a sum of consecutive naturals, for example, 51967258 + ... + 51967496.

It is an arithmetic number, because the mean of its divisors is an integer number (125798400).

Almost surely, 212420203103 is an apocalyptic number.

12420203103 is a deficient number, since it is larger than the sum of its proper divisors (11733089697).

12420203103 is a wasteful number, since it uses less digits than its factorization.

12420203103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12420203103 its reverse (30130202421), we get a palindrome (42550405524).

The spelling of 12420203103 in words is "twelve billion, four hundred twenty million, two hundred three thousand, one hundred three".