Search a number
-
+
301124121142301 = 3121289924292159
BaseRepresentation
bin100010001110111101110110…
…0010001100010010000011101
31110111012011222202012100021122
41010131323230101202100131
5303432104200003023201
62544234302253340325
7120266333302514462
oct10435735421422035
91414164882170248
10301124121142301
1187a47028105766
1229933a56a976a5
13cc03b62613252
1454506b1671669
1524c2de1c7ee1b
hex111deec46241d

301124121142301 has 12 divisors (see below), whose sum is σ = 311175281952000. Its totient is φ = 291387836112120.

The previous prime is 301124121142267. The next prime is 301124121142357. The reversal of 301124121142301 is 103241121421103.

It is a happy number.

It is not a de Polignac number, because 301124121142301 - 218 = 301124120880157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301124121132301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249860 + ... + 24542018.

It is an arithmetic number, because the mean of its divisors is an integer number (25931273496000).

Almost surely, 2301124121142301 is an apocalyptic number.

301124121142301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

301124121142301 is a deficient number, since it is larger than the sum of its proper divisors (10051160809699).

301124121142301 is a wasteful number, since it uses less digits than its factorization.

301124121142301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24305120 (or 24305089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 301124121142301 its reverse (103241121421103), we get a palindrome (404365242563404).

The spelling of 301124121142301 in words is "three hundred one trillion, one hundred twenty-four billion, one hundred twenty-one million, one hundred forty-two thousand, three hundred one".

Divisors: 1 31 961 12899 399869 12395939 24292159 753056929 23344764799 313344558941 9713681327171 301124121142301