Search a number
-
+
10430310204 = 22322383151771
BaseRepresentation
bin10011011011011000…
…11110011100111100
3222220220110122202100
421231230132130330
5132330124411304
64442553425100
7516321113436
oct115554363474
928826418670
1010430310204
114472702486
12203110b190
13ca2bb1cb2
1470d377656
15410a5c439
hex26db1e73c

10430310204 has 72 divisors (see below), whose sum is σ = 27843484032. Its totient is φ = 3285516960.

The previous prime is 10430310193. The next prime is 10430310223. The reversal of 10430310204 is 40201303401.

10430310204 is a `hidden beast` number, since 1 + 0 + 430 + 31 + 0 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7162 + ... + 144609.

It is an arithmetic number, because the mean of its divisors is an integer number (386715056).

Almost surely, 210430310204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430310204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13921742016).

10430310204 is an abundant number, since it is smaller than the sum of its proper divisors (17413173828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10430310204 is a wasteful number, since it uses less digits than its factorization.

10430310204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151887 (or 151882 counting only the distinct ones).

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

Adding to 10430310204 its reverse (40201303401), we get a palindrome (50631613605).

The spelling of 10430310204 in words is "ten billion, four hundred thirty million, three hundred ten thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 83 92 138 166 207 249 276 332 414 498 747 828 996 1494 1909 2988 3818 5727 7636 11454 17181 22908 34362 68724 151771 303542 455313 607084 910626 1365939 1821252 2731878 3490733 5463756 6981466 10472199 12596993 13962932 20944398 25193986 31416597 37790979 41888796 50387972 62833194 75581958 113372937 125666388 151163916 226745874 289730839 453491748 579461678 869192517 1158923356 1738385034 2607577551 3476770068 5215155102 10430310204