Search a number
-
+
10012423120101 = 323137969914087
BaseRepresentation
bin1001000110110011001011…
…1011000110010011100101
31022110011210222112010211200
42101230302323012103211
52303020420304320401
633143351011353113
72052242115205323
oct221546273062345
938404728463750
1010012423120101
113210276912026
1211585842b2799
13578223b67c6c
1426886500cd13
151256a58e2686
hex91b32ec64e5

10012423120101 has 24 divisors (see below), whose sum is σ = 15332401903104. Its totient is φ = 6285043277280.

The previous prime is 10012423120087. The next prime is 10012423120153. The reversal of 10012423120101 is 10102132421001.

10012423120101 is a `hidden beast` number, since 10 + 0 + 1 + 242 + 312 + 0 + 101 = 666.

10012423120101 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 10012423120101 - 25 = 10012423120069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012423120501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484946721 + ... + 484967366.

It is an arithmetic number, because the mean of its divisors is an integer number (638850079296).

Almost surely, 210012423120101 is an apocalyptic number.

It is an amenable number.

10012423120101 is a deficient number, since it is larger than the sum of its proper divisors (5319978783003).

10012423120101 is a wasteful number, since it uses less digits than its factorization.

10012423120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969914161 (or 969914158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10012423120101 its reverse (10102132421001), we get a palindrome (20114555541102).

The spelling of 10012423120101 in words is "ten trillion, twelve billion, four hundred twenty-three million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 31 37 93 111 279 333 1147 3441 10323 969914087 2909742261 8729226783 30067336697 35886821219 90202010091 107660463657 270606030273 322981390971 1112491457789 3337474373367 10012423120101