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2300430434130 = 23556129352967
BaseRepresentation
bin100001011110011100010…
…101101011111101010010
322010220210221201012100000
4201132130111223331102
5300142240142343010
64520445251510430
7325125545026413
oct41363425537522
98126727635300
102300430434130
1180767500a674
12311a095b8416
13138c115cc01a
147d4acc3980a
153ec8d3627c0
hex2179c56bf52

2300430434130 has 192 divisors, whose sum is σ = 6325960612608. Its totient is φ = 601320879360.

The previous prime is 2300430434111. The next prime is 2300430434173. The reversal of 2300430434130 is 314340340032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2300430434094 and 2300430434103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43404907 + ... + 43457873.

It is an arithmetic number, because the mean of its divisors is an integer number (32947711524).

Almost surely, 22300430434130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300430434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162980306304).

2300430434130 is an abundant number, since it is smaller than the sum of its proper divisors (4025530178478).

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

2300430434130 is a wasteful number, since it uses less digits than its factorization.

2300430434130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53343 (or 53331 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2300430434130 its reverse (314340340032), we get a palindrome (2614770774162).

The spelling of 2300430434130 in words is "two trillion, three hundred billion, four hundred thirty million, four hundred thirty-four thousand, one hundred thirty".