Search a number
-
+
102430340320 = 25571117214831
BaseRepresentation
bin101111101100101010…
…0101111010011100000
3100210101112202102102011
41133121110233103200
53134234131342240
6115020021402304
710254214345540
oct1373124572340
9323345672364
10102430340320
113a493290820
1217a27869394
13987518c239
144d59b3b320
1529e77a56ea
hex17d952f4e0

102430340320 has 192 divisors, whose sum is σ = 301941706752. Its totient is φ = 31901184000.

The previous prime is 102430340281. The next prime is 102430340339. The reversal of 102430340320 is 23043034201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102430340291 and 102430340300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21200305 + ... + 21205135.

It is an arithmetic number, because the mean of its divisors is an integer number (1572613056).

Almost surely, 2102430340320 is an apocalyptic number.

102430340320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102430340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150970853376).

102430340320 is an abundant number, since it is smaller than the sum of its proper divisors (199511366432).

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

102430340320 is a wasteful number, since it uses less digits than its factorization.

102430340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 102430340320 its reverse (23043034201), we get a palindrome (125473374521).

The spelling of 102430340320 in words is "one hundred two billion, four hundred thirty million, three hundred forty thousand, three hundred twenty".