Search a number
-
+
10024200423 = 3223129737337
BaseRepresentation
bin10010101010111110…
…10010100011100111
3221212121022010212100
421111133102203213
5131012143403143
64334405223143
7503260204056
oct112537224347
927777263770
1010024200423
114284444166
121b39101ab3
13c39a11753
146b146239d
153da08d6d3
hex2557d28e7

10024200423 has 24 divisors (see below), whose sum is σ = 15120993888. Its totient is φ = 6387144192.

The previous prime is 10024200419. The next prime is 10024200451. The reversal of 10024200423 is 32400242001.

10024200423 is a `hidden beast` number, since 1 + 0 + 0 + 242 + 0 + 0 + 423 = 666.

It is not a de Polignac number, because 10024200423 - 22 = 10024200419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10024200396 and 10024200405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024200493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249811 + ... + 287147.

It is an arithmetic number, because the mean of its divisors is an integer number (630041412).

Almost surely, 210024200423 is an apocalyptic number.

10024200423 is a deficient number, since it is larger than the sum of its proper divisors (5096793465).

10024200423 is a wasteful number, since it uses less digits than its factorization.

10024200423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38663 (or 38660 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10024200423 its reverse (32400242001), we get a palindrome (42424442424).

The spelling of 10024200423 in words is "ten billion, twenty-four million, two hundred thousand, four hundred twenty-three".

Divisors: 1 3 9 23 69 207 1297 3891 11673 29831 37337 89493 112011 268479 336033 858751 2576253 7728759 48426089 145278267 435834801 1113800047 3341400141 10024200423