Search a number
-
+
20103032430 = 23251383207013
BaseRepresentation
bin10010101110001110…
…111110111001101110
31220220000101212011200
4102232032332321232
5312132334014210
613122445430330
71311112645665
oct225616767156
956800355150
1020103032430
118586701898
123a9056b3a6
131b84b40780
14d89c65ddc
157c9d1e0c0
hex4ae3bee6e

20103032430 has 96 divisors (see below), whose sum is σ = 56966940576. Its totient is φ = 4888795392.

The previous prime is 20103032419. The next prime is 20103032461. The reversal of 20103032430 is 3423030102.

20103032430 is a `hidden beast` number, since 201 + 0 + 3 + 0 + 32 + 430 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6397 + ... + 200616.

It is an arithmetic number, because the mean of its divisors is an integer number (593405631).

Almost surely, 220103032430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103032430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28483470288).

20103032430 is an abundant number, since it is smaller than the sum of its proper divisors (36863908146).

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

20103032430 is a wasteful number, since it uses less digits than its factorization.

20103032430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207122 (or 207119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20103032430 its reverse (3423030102), we get a palindrome (23526062532).

The spelling of 20103032430 in words is "twenty billion, one hundred three million, thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 83 90 117 130 166 195 234 249 390 415 498 585 747 830 1079 1170 1245 1494 2158 2490 3237 3735 5395 6474 7470 9711 10790 16185 19422 32370 48555 97110 207013 414026 621039 1035065 1242078 1863117 2070130 2691169 3105195 3726234 5382338 6210390 8073507 9315585 13455845 16147014 17182079 18631170 24220521 26911690 34364158 40367535 48441042 51546237 80735070 85910395 103092474 121102605 154638711 171820790 223367027 242205210 257731185 309277422 446734054 515462370 670101081 773193555 1116835135 1340202162 1546387110 2010303243 2233670270 3350505405 4020606486 6701010810 10051516215 20103032430