Search a number
-
+
12401012301 = 338923814463
BaseRepresentation
bin10111000110010100…
…00110111001001101
31012000020200200210220
423203022012321031
5200344124343201
65410312421553
7616210602546
oct134312067115
935006620726
1012401012301
1152940590a7
1224a10a78b9
13122826bb02
14858da74cd
154c8a84036
hex2e3286e4d

12401012301 has 16 divisors (see below), whose sum is σ = 16587866880. Its totient is φ = 8240778560.

The previous prime is 12401012293. The next prime is 12401012311. The reversal of 12401012301 is 10321010421.

12401012301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12401012301 - 23 = 12401012293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401012311) 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, 2776396 + ... + 2780858.

It is an arithmetic number, because the mean of its divisors is an integer number (1036741680).

Almost surely, 212401012301 is an apocalyptic number.

It is an amenable number.

12401012301 is a deficient number, since it is larger than the sum of its proper divisors (4186854579).

12401012301 is a wasteful number, since it uses less digits than its factorization.

12401012301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12401012301 its reverse (10321010421), we get a palindrome (22722022722).

The spelling of 12401012301 in words is "twelve billion, four hundred one million, twelve thousand, three hundred one".

Divisors: 1 3 389 1167 2381 4463 7143 13389 926209 1736107 2778627 5208321 10626403 31879209 4133670767 12401012301